Abundant exact soliton solutions to the Fokas system
In the current work, we consider the Fokas system that describes the nonlinear pulse propagation in monomode optical fibers. By employing the Exp-function method, we succeed in constructing six families(eleven sets) of the exact soliton solutions. And the behaviors of the real, imaginary and absolut...
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Published in | Optik (Stuttgart) Vol. 249; p. 168265 |
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Format | Journal Article |
Language | English |
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01.01.2022
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Abstract | In the current work, we consider the Fokas system that describes the nonlinear pulse propagation in monomode optical fibers. By employing the Exp-function method, we succeed in constructing six families(eleven sets) of the exact soliton solutions. And the behaviors of the real, imaginary and absolute parts of the solutions are described through the 3-D contours. It reveals that the Exp-function method is an effective method to construct abundant exact solutions for the partial differential equations arising in optics. |
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AbstractList | In the current work, we consider the Fokas system that describes the nonlinear pulse propagation in monomode optical fibers. By employing the Exp-function method, we succeed in constructing six families(eleven sets) of the exact soliton solutions. And the behaviors of the real, imaginary and absolute parts of the solutions are described through the 3-D contours. It reveals that the Exp-function method is an effective method to construct abundant exact solutions for the partial differential equations arising in optics. |
ArticleNumber | 168265 |
Author | Wang, Kang-Jia |
Author_xml | – sequence: 1 givenname: Kang-Jia surname: Wang fullname: Wang, Kang-Jia email: kangjiaw@hpu.edu.cn organization: School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China |
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Cites_doi | 10.1088/0253-6102/64/6/605 10.1016/j.ijleo.2016.05.052 10.1007/s11071-021-06283-9 10.1016/j.physleta.2009.05.010 10.1016/j.camwa.2006.12.041 10.1007/s12596-020-00644-0 10.1142/S0218348X21501152 10.1088/0256-307X/38/9/094201 10.1080/17415977.2011.603088 10.1016/j.ijleo.2016.11.123 10.1007/s11071-018-4387-7 10.1007/s11071-019-05200-5 10.1016/j.rinp.2020.103476 10.1016/j.ijleo.2018.08.037 10.1142/S0218348X21501693 10.1016/j.rinp.2021.104931 10.1088/1402-4896/ac00e5 10.1016/j.rinp.2021.104375 10.1088/0253-6102/71/5/496 10.1142/S0218348X2150122X 10.1016/j.chaos.2007.01.024 10.1088/1674-1056/ab90ea 10.1007/s12648-020-01773-9 10.1007/s11071-021-06411-5 10.1142/S0218348X21500626 10.1016/j.physleta.2018.12.045 10.1080/09500340.2015.1111456 10.1016/j.spmi.2017.04.021 10.1016/j.aml.2021.107435 |
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Keywords | Abundant soliton solutions Fokas system Partial differential equations Exp-function method |
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References | Biswas, Arshed (bib9) 2018; 174 Chen, Hu, He (bib34) 2019; 71 Wang (bib28) 2021; 31 He, Wu (bib35) 2006; 30 Wang, Luan, Zhou, Biswas, Alzahrani, Liu (bib22) 2021; 104 Ali, Yilmazer, Baskonus, Bulut (bib16) 2021; 95 Wang, Wang (bib25) 2021 Rao, Mihalache, Cheng, He (bib32) 2019; 383 Biswas (bib1) 2020; 49 Kang-Jia, Guo-Dong (bib2) 2021; 412 Biswas (bib11) 2009; 373 Liu, Yang, Geng, Fan (bib20) 2021; 29 Zulfiqar, Ahmad (bib36) 2020; 19 Sohail, Chu, El-zahar, Nazir, Naseem (bib14) 2021; 96 Rao, Wang, Zhang, He (bib31) 2015; 64 Wang (bib19) 2020; 135 Wang, Wang, Zhu (bib15) 2021; 29 Attia, Baleanu, Lu, Khater, Ahmed (bib18) 2021; 14 Wu, He (bib37) 2008; 38 Wang, Luan, Zhou, Biswas, Alzahrani, Liu (bib13) 2021; 104 Wang, Liu (bib23) 2020; 29 Wang, Wang (bib29) 2021 Rao, He, Mihalache (bib33) 2021; 121 Wang, Hong-Wei, Liu, Guo-Dong (bib30) 2021; 26 Wu, He (bib38) 2007; 54 Biswas, Mirzazadeh, Eslami, Zhou, Bhrawy, Belic (bib6) 2016; 127 Wang (bib21) 2021; 29 Wang, Wang (bib17) 2021; 29 Zhou, Mirzazadeh, Zerrad, Biswas, Belic (bib4) 2016; 63 Wang (bib26) 2021 Biswas, Milovic, Kohl (bib3) 2012; 20 Ekici, Zhou, Sonmezoglu, Moshokoa, Ullah, Biswas, Belic (bib27) 2017; 107 Bakodah, Al Qarni, Banaja, Zhou, Moshokoa, Biswas (bib10) 2017; 130 Zhou, Liu, Zhang, Wei, Lu, Yu, Biswas (bib8) 2015; 130 Liu, Triki, Zhou, Liu, Biswas (bib5) 2018; 94 Kang-Jia (bib12) 2021; 243 Yan, Liu (bib24) 2021; 38 Liu, Zhou, Biswas, Liu (bib7) 2019; 98 Wang (10.1016/j.ijleo.2021.168265_bib28) 2021; 31 Biswas (10.1016/j.ijleo.2021.168265_bib11) 2009; 373 Wang (10.1016/j.ijleo.2021.168265_bib26) 2021 Ekici (10.1016/j.ijleo.2021.168265_bib27) 2017; 107 Sohail (10.1016/j.ijleo.2021.168265_bib14) 2021; 96 Ali (10.1016/j.ijleo.2021.168265_bib16) 2021; 95 Rao (10.1016/j.ijleo.2021.168265_bib33) 2021; 121 Wang (10.1016/j.ijleo.2021.168265_bib19) 2020; 135 Wang (10.1016/j.ijleo.2021.168265_bib30) 2021; 26 Bakodah (10.1016/j.ijleo.2021.168265_bib10) 2017; 130 Liu (10.1016/j.ijleo.2021.168265_bib20) 2021; 29 Wu (10.1016/j.ijleo.2021.168265_bib38) 2007; 54 Wang (10.1016/j.ijleo.2021.168265_bib23) 2020; 29 Liu (10.1016/j.ijleo.2021.168265_bib7) 2019; 98 Zhou (10.1016/j.ijleo.2021.168265_bib8) 2015; 130 Wang (10.1016/j.ijleo.2021.168265_bib13) 2021; 104 Wang (10.1016/j.ijleo.2021.168265_bib17) 2021; 29 Wang (10.1016/j.ijleo.2021.168265_bib21) 2021; 29 Attia (10.1016/j.ijleo.2021.168265_bib18) 2021; 14 Biswas (10.1016/j.ijleo.2021.168265_bib6) 2016; 127 Biswas (10.1016/j.ijleo.2021.168265_bib9) 2018; 174 He (10.1016/j.ijleo.2021.168265_bib35) 2006; 30 Wu (10.1016/j.ijleo.2021.168265_bib37) 2008; 38 Wang (10.1016/j.ijleo.2021.168265_bib29) 2021 Wang (10.1016/j.ijleo.2021.168265_bib22) 2021; 104 Wang (10.1016/j.ijleo.2021.168265_bib15) 2021; 29 Yan (10.1016/j.ijleo.2021.168265_bib24) 2021; 38 Wang (10.1016/j.ijleo.2021.168265_bib25) 2021 Zhou (10.1016/j.ijleo.2021.168265_bib4) 2016; 63 Zulfiqar (10.1016/j.ijleo.2021.168265_bib36) 2020; 19 Biswas (10.1016/j.ijleo.2021.168265_bib1) 2020; 49 Rao (10.1016/j.ijleo.2021.168265_bib32) 2019; 383 Kang-Jia (10.1016/j.ijleo.2021.168265_bib2) 2021; 412 Liu (10.1016/j.ijleo.2021.168265_bib5) 2018; 94 Rao (10.1016/j.ijleo.2021.168265_bib31) 2015; 64 Chen (10.1016/j.ijleo.2021.168265_bib34) 2019; 71 Biswas (10.1016/j.ijleo.2021.168265_bib3) 2012; 20 Kang-Jia (10.1016/j.ijleo.2021.168265_bib12) 2021; 243 |
References_xml | – volume: 94 start-page: 703 year: 2018 end-page: 709 ident: bib5 article-title: Analytic study on interactions between periodic solitons with controllable parameters publication-title: Nonlinear Dyn. – volume: 49 start-page: 580 year: 2020 end-page: 583 ident: bib1 article-title: Optical soliton cooling with polynomial law of nonlinear refractive index publication-title: J. Opt. – volume: 29 year: 2021 ident: bib20 article-title: Group analysis of the time fractional (3+1)-dimensional KDV-type equation publication-title: Fractals – volume: 63 start-page: 950 year: 2016 end-page: 954 ident: bib4 article-title: Bright, dark, and singular solitons in optical fibers with spatio-temporal dispersion and spatially dependent coefficients publication-title: J. Mod. Opt. – start-page: mma.7683 year: 2021 ident: bib29 article-title: Study on the explicit solutions of the Benney-Luke equation via the variational direct method publication-title: Math. Methods Appl. Sci. – volume: 135 start-page: 871 year: 2020 ident: bib19 article-title: A new fractional nonlinear singular heat conduction model for the human head considering the effect of febrifuge publication-title: Eur. Phys. J. – volume: 127 start-page: 7250 year: 2016 end-page: 7257 ident: bib6 article-title: Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method publication-title: Optik – volume: 104 start-page: 629 year: 2021 end-page: 637 ident: bib13 article-title: Effects of dispersion terms on optical soliton propagation in a lossy fiber system publication-title: Nonlinear Dyn. – volume: 104 start-page: 2613 year: 2021 end-page: 2620 ident: bib22 article-title: Bright soliton solutions of the (2+ 1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term publication-title: Nonlinear Dyn. – volume: 107 start-page: 197 year: 2017 end-page: 218 ident: bib27 article-title: Solitons in magneto-optic waveguides by extended trial function scheme publication-title: Superlattices Microstruct. – volume: 130 start-page: 1115 year: 2017 end-page: 1123 ident: bib10 article-title: Bright and dark thirring optical solitons with improved adomian decomposition method publication-title: Optik – volume: 29 year: 2020 ident: bib23 article-title: Stable soliton propagation in a coupled (2+1) dimensional Ginzburg-Landau system publication-title: Chin. Phys. B – volume: 412 year: 2021 ident: bib2 article-title: Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics publication-title: Phys. Lett. A – volume: 14 start-page: 3459 year: 2021 ident: bib18 article-title: Computational and numerical simulations for the deoxyribonucleic acid (DNA) model publication-title: Discret. Contin. Dyn. Syst. – volume: 98 start-page: 395 year: 2019 end-page: 401 ident: bib7 article-title: Phase-shift controlling of three solitons in dispersion-decreasing fibers publication-title: Nonlinear Dyn. – year: 2021 ident: bib26 article-title: Research on the nonlinear vibration of carbon nanotube embedded in fractal medium publication-title: Fractals – volume: 383 start-page: 1138 year: 2019 end-page: 1142 ident: bib32 article-title: Lump-soliton solutions to the Fokas system publication-title: Phys. Lett. A – volume: 20 start-page: 227 year: 2012 end-page: 232 ident: bib3 article-title: Optical soliton perturbation in a log-law medium with full nonlinearity by He’s semi-inverse variational principle publication-title: Inverse Probl. Sci. Eng. – volume: 29 year: 2021 ident: bib21 article-title: A new fractal transform frequency formulation for fractal nonlinear oscillators publication-title: Fractals – volume: 19 year: 2020 ident: bib36 article-title: Soliton solutions of fractional modified unstable Schrödinger equation using exp-function method publication-title: Results Phys. – volume: 130 start-page: 1 year: 2015 end-page: 6 ident: bib8 article-title: Analytical study of thirring optical solitons with parabolic law nonlinearity and spatio-temporal dispersion publication-title: Eur. Phys. J. – volume: 243 year: 2021 ident: bib12 article-title: Periodic solution of the time-space fractional complex nonlinear Fokas-Lenells equation by an ancient Chinese algorithm publication-title: Optik – volume: 38 year: 2021 ident: bib24 article-title: Soliton rectangular pulses and bound states in a dissipative system modeled by the variable-coefficients complex cubic-quintic Ginzburg-Landau equation publication-title: Chin. Phys. Lett. – volume: 30 start-page: 700 year: 2006 end-page: 708 ident: bib35 article-title: Exp-function method for nonlinear wave equations, Chaos, Solitons and Fractals – volume: 373 start-page: 2546 year: 2009 end-page: 2548 ident: bib11 article-title: 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation publication-title: Phys. Lett. A – volume: 54 start-page: 966 year: 2007 end-page: 986 ident: bib38 article-title: Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method publication-title: Comput. Math. Appl. – volume: 96 year: 2021 ident: bib14 article-title: Contribution of joule heating and viscous dissipation on three dimensional flow of Casson model comprising temperature dependent conductance utilizing shooting method publication-title: Phys. Scr. – volume: 64 start-page: 605 year: 2015 end-page: 618 ident: bib31 article-title: Rational solutions for the Fokas system publication-title: Commun. Theor. Phys. – volume: 26 year: 2021 ident: bib30 article-title: Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method publication-title: Results Phys. – volume: 121 year: 2021 ident: bib33 article-title: Doubly localized rogue waves on a background of dark solitons for the Fokas system publication-title: Appl. Math. Lett. – volume: 71 start-page: 496 year: 2019 ident: bib34 article-title: General higher-order breather and hybrid solutions of the fokas system publication-title: Commun. Theor. Phys. – year: 2021 ident: bib25 article-title: Solitary waves of the fractal regularized long wave equation travelling along an unsmooth boundary publication-title: Fractals – volume: 31 year: 2021 ident: bib28 article-title: Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field publication-title: Results Phys. – volume: 29 year: 2021 ident: bib15 article-title: A new perspective on the study of the fractal coupled Boussinesq-Burger equation in shallow water publication-title: Fractals – volume: 38 start-page: 903 year: 2008 end-page: 910 ident: bib37 article-title: Exp-function method and its application to nonlinear equations publication-title: Chaos Solitons Fractals – volume: 174 start-page: 452 year: 2018 end-page: 459 ident: bib9 article-title: Optical solitons in presence of higher order dispersions and absence of self-phase modulation publication-title: Optik – volume: 29 year: 2021 ident: bib17 article-title: Variational principle, solitary and periodic wave solutions of the fractal modified equal width equation in plasma physics publication-title: Fractals – volume: 95 start-page: 1003 year: 2021 end-page: 1008 ident: bib16 article-title: New wave behaviors and stability analysis of the Gilson–Pickering equation in plasma physics publication-title: Indian J. Phys. – volume: 64 start-page: 605 issue: 6 year: 2015 ident: 10.1016/j.ijleo.2021.168265_bib31 article-title: Rational solutions for the Fokas system publication-title: Commun. Theor. Phys. doi: 10.1088/0253-6102/64/6/605 – volume: 127 start-page: 7250 issue: 18 year: 2016 ident: 10.1016/j.ijleo.2021.168265_bib6 article-title: Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method publication-title: Optik doi: 10.1016/j.ijleo.2016.05.052 – volume: 104 start-page: 629 issue: 1 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib13 article-title: Effects of dispersion terms on optical soliton propagation in a lossy fiber system publication-title: Nonlinear Dyn. doi: 10.1007/s11071-021-06283-9 – volume: 373 start-page: 2546 issue: 30 year: 2009 ident: 10.1016/j.ijleo.2021.168265_bib11 article-title: 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2009.05.010 – volume: 54 start-page: 966 issue: 7–8 year: 2007 ident: 10.1016/j.ijleo.2021.168265_bib38 article-title: Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2006.12.041 – volume: 49 start-page: 580 issue: 4 year: 2020 ident: 10.1016/j.ijleo.2021.168265_bib1 article-title: Optical soliton cooling with polynomial law of nonlinear refractive index publication-title: J. Opt. doi: 10.1007/s12596-020-00644-0 – start-page: mma.7683 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib29 article-title: Study on the explicit solutions of the Benney-Luke equation via the variational direct method publication-title: Math. Methods Appl. Sci. – volume: 29 issue: 5 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib17 article-title: Variational principle, solitary and periodic wave solutions of the fractal modified equal width equation in plasma physics publication-title: Fractals doi: 10.1142/S0218348X21501152 – volume: 38 issue: 9 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib24 article-title: Soliton rectangular pulses and bound states in a dissipative system modeled by the variable-coefficients complex cubic-quintic Ginzburg-Landau equation publication-title: Chin. Phys. Lett. doi: 10.1088/0256-307X/38/9/094201 – volume: 20 start-page: 227 issue: 2 year: 2012 ident: 10.1016/j.ijleo.2021.168265_bib3 article-title: Optical soliton perturbation in a log-law medium with full nonlinearity by He’s semi-inverse variational principle publication-title: Inverse Probl. Sci. Eng. doi: 10.1080/17415977.2011.603088 – volume: 130 start-page: 1115 year: 2017 ident: 10.1016/j.ijleo.2021.168265_bib10 article-title: Bright and dark thirring optical solitons with improved adomian decomposition method publication-title: Optik doi: 10.1016/j.ijleo.2016.11.123 – volume: 243 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib12 article-title: Periodic solution of the time-space fractional complex nonlinear Fokas-Lenells equation by an ancient Chinese algorithm publication-title: Optik – volume: 94 start-page: 703 issue: 1 year: 2018 ident: 10.1016/j.ijleo.2021.168265_bib5 article-title: Analytic study on interactions between periodic solitons with controllable parameters publication-title: Nonlinear Dyn. doi: 10.1007/s11071-018-4387-7 – volume: 98 start-page: 395 issue: 1 year: 2019 ident: 10.1016/j.ijleo.2021.168265_bib7 article-title: Phase-shift controlling of three solitons in dispersion-decreasing fibers publication-title: Nonlinear Dyn. doi: 10.1007/s11071-019-05200-5 – volume: 135 start-page: 871 year: 2020 ident: 10.1016/j.ijleo.2021.168265_bib19 article-title: A new fractional nonlinear singular heat conduction model for the human head considering the effect of febrifuge publication-title: Eur. Phys. J. – volume: 19 year: 2020 ident: 10.1016/j.ijleo.2021.168265_bib36 article-title: Soliton solutions of fractional modified unstable Schrödinger equation using exp-function method publication-title: Results Phys. doi: 10.1016/j.rinp.2020.103476 – volume: 174 start-page: 452 year: 2018 ident: 10.1016/j.ijleo.2021.168265_bib9 article-title: Optical solitons in presence of higher order dispersions and absence of self-phase modulation publication-title: Optik doi: 10.1016/j.ijleo.2018.08.037 – volume: 29 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib20 article-title: Group analysis of the time fractional (3+1)-dimensional KDV-type equation publication-title: Fractals doi: 10.1142/S0218348X21501693 – volume: 14 start-page: 3459 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib18 article-title: Computational and numerical simulations for the deoxyribonucleic acid (DNA) model publication-title: Discret. Contin. Dyn. Syst. – year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib25 article-title: Solitary waves of the fractal regularized long wave equation travelling along an unsmooth boundary publication-title: Fractals – year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib26 article-title: Research on the nonlinear vibration of carbon nanotube embedded in fractal medium publication-title: Fractals – volume: 31 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib28 article-title: Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field publication-title: Results Phys. doi: 10.1016/j.rinp.2021.104931 – volume: 96 issue: 8 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib14 article-title: Contribution of joule heating and viscous dissipation on three dimensional flow of Casson model comprising temperature dependent conductance utilizing shooting method publication-title: Phys. Scr. doi: 10.1088/1402-4896/ac00e5 – volume: 26 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib30 article-title: Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method publication-title: Results Phys. doi: 10.1016/j.rinp.2021.104375 – volume: 71 start-page: 496 issue: 5 year: 2019 ident: 10.1016/j.ijleo.2021.168265_bib34 article-title: General higher-order breather and hybrid solutions of the fokas system publication-title: Commun. Theor. Phys. doi: 10.1088/0253-6102/71/5/496 – volume: 30 start-page: 700 issue: 3 year: 2006 ident: 10.1016/j.ijleo.2021.168265_bib35 article-title: Exp-function method for nonlinear wave equations, Chaos, Solitons and Fractals – volume: 29 issue: 5 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib15 article-title: A new perspective on the study of the fractal coupled Boussinesq-Burger equation in shallow water publication-title: Fractals doi: 10.1142/S0218348X2150122X – volume: 38 start-page: 903 issue: 3 year: 2008 ident: 10.1016/j.ijleo.2021.168265_bib37 article-title: Exp-function method and its application to nonlinear equations publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2007.01.024 – volume: 130 start-page: 1 issue: 7 year: 2015 ident: 10.1016/j.ijleo.2021.168265_bib8 article-title: Analytical study of thirring optical solitons with parabolic law nonlinearity and spatio-temporal dispersion publication-title: Eur. Phys. J. – volume: 29 issue: 7 year: 2020 ident: 10.1016/j.ijleo.2021.168265_bib23 article-title: Stable soliton propagation in a coupled (2+1) dimensional Ginzburg-Landau system publication-title: Chin. Phys. B doi: 10.1088/1674-1056/ab90ea – volume: 95 start-page: 1003 issue: 5 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib16 article-title: New wave behaviors and stability analysis of the Gilson–Pickering equation in plasma physics publication-title: Indian J. Phys. doi: 10.1007/s12648-020-01773-9 – volume: 104 start-page: 2613 issue: 3 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib22 article-title: Bright soliton solutions of the (2+ 1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term publication-title: Nonlinear Dyn. doi: 10.1007/s11071-021-06411-5 – volume: 29 issue: 3 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib21 article-title: A new fractal transform frequency formulation for fractal nonlinear oscillators publication-title: Fractals doi: 10.1142/S0218348X21500626 – volume: 412 issue: 7 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib2 article-title: Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics publication-title: Phys. Lett. A – volume: 383 start-page: 1138 issue: 11 year: 2019 ident: 10.1016/j.ijleo.2021.168265_bib32 article-title: Lump-soliton solutions to the Fokas system publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2018.12.045 – volume: 63 start-page: 950 issue: 10 year: 2016 ident: 10.1016/j.ijleo.2021.168265_bib4 article-title: Bright, dark, and singular solitons in optical fibers with spatio-temporal dispersion and spatially dependent coefficients publication-title: J. Mod. Opt. doi: 10.1080/09500340.2015.1111456 – volume: 107 start-page: 197 year: 2017 ident: 10.1016/j.ijleo.2021.168265_bib27 article-title: Solitons in magneto-optic waveguides by extended trial function scheme publication-title: Superlattices Microstruct. doi: 10.1016/j.spmi.2017.04.021 – volume: 121 year: 2021 ident: 10.1016/j.ijleo.2021.168265_bib33 article-title: Doubly localized rogue waves on a background of dark solitons for the Fokas system publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2021.107435 |
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Snippet | In the current work, we consider the Fokas system that describes the nonlinear pulse propagation in monomode optical fibers. By employing the Exp-function... |
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SubjectTerms | Abundant soliton solutions Exp-function method Fokas system Partial differential equations |
Title | Abundant exact soliton solutions to the Fokas system |
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