Delving into quasi-periodic type optical solitons in fully nonlinear complex structured perturbed Gerdjikov–Ivanov equation
In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We...
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| Published in | Scientific reports Vol. 15; no. 1; pp. 8818 - 19 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
14.03.2025
Nature Publishing Group Nature Portfolio |
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| Abstract | In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We employ the Riccati modified extended simple equation method, which has never been employed for this model previously, to acquire novel and distinct optical soliton solutions. To visually evaluate the dynamics of derived optical soliton solutions, several 3D, 2D, and contour graphics are incorporated. These visuals reveal a range of quasi-periodic type optical soliton phenomena, that include internal envelope, hump, cnoidal, periodic, and fractal solitons. In addition to including additional soliton dynamics into the model, the results show how these dynamics interact to affect the system’s overall behavior. |
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| AbstractList | In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We employ the Riccati modified extended simple equation method, which has never been employed for this model previously, to acquire novel and distinct optical soliton solutions. To visually evaluate the dynamics of derived optical soliton solutions, several 3D, 2D, and contour graphics are incorporated. These visuals reveal a range of quasi-periodic type optical soliton phenomena, that include internal envelope, hump, cnoidal, periodic, and fractal solitons. In addition to including additional soliton dynamics into the model, the results show how these dynamics interact to affect the system’s overall behavior. Abstract In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We employ the Riccati modified extended simple equation method, which has never been employed for this model previously, to acquire novel and distinct optical soliton solutions. To visually evaluate the dynamics of derived optical soliton solutions, several 3D, 2D, and contour graphics are incorporated. These visuals reveal a range of quasi-periodic type optical soliton phenomena, that include internal envelope, hump, cnoidal, periodic, and fractal solitons. In addition to including additional soliton dynamics into the model, the results show how these dynamics interact to affect the system’s overall behavior. In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov-Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We employ the Riccati modified extended simple equation method, which has never been employed for this model previously, to acquire novel and distinct optical soliton solutions. To visually evaluate the dynamics of derived optical soliton solutions, several 3D, 2D, and contour graphics are incorporated. These visuals reveal a range of quasi-periodic type optical soliton phenomena, that include internal envelope, hump, cnoidal, periodic, and fractal solitons. In addition to including additional soliton dynamics into the model, the results show how these dynamics interact to affect the system's overall behavior.In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov-Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We employ the Riccati modified extended simple equation method, which has never been employed for this model previously, to acquire novel and distinct optical soliton solutions. To visually evaluate the dynamics of derived optical soliton solutions, several 3D, 2D, and contour graphics are incorporated. These visuals reveal a range of quasi-periodic type optical soliton phenomena, that include internal envelope, hump, cnoidal, periodic, and fractal solitons. In addition to including additional soliton dynamics into the model, the results show how these dynamics interact to affect the system's overall behavior. |
| ArticleNumber | 8818 |
| Author | Barak, Shoaib Mlaiki, Nabil Haque, Salma Yan, Zhimin Li, Jinbo |
| Author_xml | – sequence: 1 givenname: Zhimin surname: Yan fullname: Yan, Zhimin organization: School of Mechanical and Electrical Engineering, XinYu University – sequence: 2 givenname: Jinbo surname: Li fullname: Li, Jinbo email: yanle3012@126.com organization: School of Mechanical and Electrical Engineering, XinYu University – sequence: 3 givenname: Shoaib surname: Barak fullname: Barak, Shoaib organization: Department of Mathematics, Government Degree College No.2 Mardan – sequence: 4 givenname: Salma surname: Haque fullname: Haque, Salma organization: Department of Mathematics and Sciences, Prince Sultan University – sequence: 5 givenname: Nabil surname: Mlaiki fullname: Mlaiki, Nabil organization: Department of Mathematics and Sciences, Prince Sultan University |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/40087318$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1016/j.cnsns.2009.01.023 10.1007/s11082-021-03123-3 10.1016/j.aej.2017.02.015 10.1088/1402-4896/ad6ae6 10.1016/j.ijleo.2017.08.094 10.1016/j.semcancer.2011.04.002 10.1088/1402-4896/ad6e34 10.3390/sym11040566 10.1088/1402-4896/ad67b1 10.1080/13873954.2024.2304808 10.3116/16091833/24/4/04060/2023 10.1016/j.ijleo.2020.164550 10.1016/j.geomphys.2022.104514 10.1088/1402-4896/ad241b 10.1007/s11082-018-1417-0 10.1007/s11082-024-06370-2 10.12785/isl/030101 10.1016/j.ijleo.2022.170255 10.1016/j.aej.2023.08.007 10.1186/s13662-014-0331-4 10.1007/BF02437964 10.3390/fractalfract7070512 10.1016/j.ijleo.2018.02.119 10.1016/j.ijleo.2017.12.099 10.1007/s11071-017-3588-9 10.1515/zna-2015-0414 10.1016/j.ijleo.2017.08.019 10.1016/j.ijleo.2021.166328 10.3934/math.2024966 10.1007/s11082-022-03819-0 10.1016/j.cnsns.2014.03.035 10.22541/au.164873371.12302718/v1 10.1109/ACCESS.2019.2933188 10.1108/HFF-05-2020-0247 10.1016/j.aej.2015.07.017 10.1063/5.0167916 10.3390/math11122686 10.1016/j.jksus.2014.09.001 10.1016/j.jppr.2020.12.001 10.1016/j.ijleo.2017.12.101 10.1016/j.ijleo.2020.165418 10.1088/1402-4896/ad4784 10.1016/j.ijleo.2019.02.013 10.1016/0378-4371(92)90497-E 10.3390/fractalfract7110773 10.1016/j.chaos.2021.111281 10.1016/j.ijleo.2020.165638 10.1016/j.chaos.2021.111523 10.1142/S021798492150456X 10.3934/math.2021180 10.1016/j.chaos.2006.03.020 10.3934/math.2022479 10.1007/BFb0113694 |
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| Keywords | Perturbed Gerdjikov–Ivanov equation Riccati modified extended simple equation method Nonlinear partial differential equations Periodic perturbation Optical soliton |
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| References | AM El-Naggar (91978_CR7) 2016; 55 M Mirzazadeh (91978_CR27) 2014; 3 MA Abdelrahman (91978_CR6) 2021; 6 F Martin-Vergara (91978_CR40) 2021; 151 RA Alomair (91978_CR5) 2022; 7 Z Navickas (91978_CR39) 2024; 30 S Arshed (91978_CR49) 2018; 164 91978_CR31 JH He (91978_CR18) 2006; 30 C Li (91978_CR54) 2020; 224 MG Hafez (91978_CR9) 2015; 27 R Ali (91978_CR24) 2024; 99 A Muniyappan (91978_CR52) 2021; 230 D Shi-qiang (91978_CR11) 2001; 22 A Biswas (91978_CR50) 2018; 50 M Aldandani (91978_CR26) 2024; 9 H Yasmin (91978_CR30) 2023; 7 MM Khater (91978_CR57) 2021; 35 SA El-Tantawy (91978_CR47) 2024; 99 M Cinar (91978_CR21) 2022; 54 A Biswas (91978_CR46) 2017; 147 HE Stanley (91978_CR45) 1992; 186 91978_CR20 (91978_CR43) 2013 HK Barman (91978_CR22) 2021; 10 91978_CR19 Z Hassan (91978_CR60) 2021; 53 MS Osman (91978_CR55) 2020; 222 91978_CR59 Y Xiao (91978_CR4) 2024; 99 I Samir (91978_CR62) 2022; 176 Y Yildirim (91978_CR33) 2019; 182 A Biswas (91978_CR51) 2018; 157 M Asif (91978_CR1) 2023; 49 CL Navier (91978_CR8) 1838 KK Al-Kalbani (91978_CR48) 2021; 153 EME Zayed (91978_CR28) 2016; 71 91978_CR14 F Haq (91978_CR3) 2018; 57 Z Navickas (91978_CR37) 2014; 243 H Khan (91978_CR13) 2019; 7 Y Yildirim (91978_CR34) 2020; 208 NA Kudryashov (91978_CR32) 2023; 272 R Ali (91978_CR25) 2023; 7 NA Kudryashov (91978_CR36) 2009; 14 Y Yildirim (91978_CR35) 2017; 89 E Yasar (91978_CR56) 2018; 9 A Biswas (91978_CR61) 2017; 148 H Khan (91978_CR12) 2019; 11 R Ali (91978_CR15) 2023; 79 Z Li (91978_CR58) 2021; 2021 H Yasmin (91978_CR29) 2023; 11 I Ullah (91978_CR2) 2024; 99 MA Akbar (91978_CR10) 2021; 25 A Biswas (91978_CR53) 2018; 157 AO Antonova (91978_CR38) 2014; 19 K Wang (91978_CR42) 2021; 31 R Ali (91978_CR17) 2024; 99 CL Zheng (91978_CR41) 2003; 41 91978_CR44 XF Yang (91978_CR16) 2015; 2015 R Ali (91978_CR23) 2024; 56 |
| References_xml | – volume: 14 start-page: 3507 issue: 9–10 year: 2009 ident: 91978_CR36 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2009.01.023 – volume: 53 start-page: 474 issue: 8 year: 2021 ident: 91978_CR60 publication-title: Opt. Quant. Electron. doi: 10.1007/s11082-021-03123-3 – volume: 57 start-page: 1061 issue: 2 year: 2018 ident: 91978_CR3 publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2017.02.015 – volume: 99 issue: 9 year: 2024 ident: 91978_CR2 publication-title: Phys. Scr. doi: 10.1088/1402-4896/ad6ae6 – volume: 148 start-page: 209 year: 2017 ident: 91978_CR61 publication-title: Optik doi: 10.1016/j.ijleo.2017.08.094 – ident: 91978_CR44 doi: 10.1016/j.semcancer.2011.04.002 – volume: 99 issue: 9 year: 2024 ident: 91978_CR4 publication-title: Phys. Scr. doi: 10.1088/1402-4896/ad6e34 – volume-title: Fractals in Science year: 2013 ident: 91978_CR43 – volume: 11 start-page: 566 issue: 4 year: 2019 ident: 91978_CR12 publication-title: Symmetry doi: 10.3390/sym11040566 – volume: 99 issue: 9 year: 2024 ident: 91978_CR24 publication-title: Phys. Scr. doi: 10.1088/1402-4896/ad67b1 – volume: 41 start-page: 442 issue: 5 year: 2003 ident: 91978_CR41 publication-title: Chin. J. Phys. – volume: 30 start-page: 51 issue: 1 year: 2024 ident: 91978_CR39 publication-title: Math. Comput. Model. Dyn. Syst. doi: 10.1080/13873954.2024.2304808 – ident: 91978_CR31 doi: 10.3116/16091833/24/4/04060/2023 – volume: 208 year: 2020 ident: 91978_CR34 publication-title: Optik doi: 10.1016/j.ijleo.2020.164550 – volume: 176 year: 2022 ident: 91978_CR62 publication-title: J. Geom. Phys. doi: 10.1016/j.geomphys.2022.104514 – ident: 91978_CR20 – volume: 99 issue: 3 year: 2024 ident: 91978_CR47 publication-title: Phys. Scr. doi: 10.1088/1402-4896/ad241b – volume: 50 start-page: 1 year: 2018 ident: 91978_CR50 publication-title: Opt. Quant. Electron. doi: 10.1007/s11082-018-1417-0 – volume: 56 start-page: 1 issue: 5 year: 2024 ident: 91978_CR23 publication-title: Opt. Quant. Electron. doi: 10.1007/s11082-024-06370-2 – volume: 3 start-page: 1 issue: 1 year: 2014 ident: 91978_CR27 publication-title: Inf. Sci. Lett. doi: 10.12785/isl/030101 – volume: 272 year: 2023 ident: 91978_CR32 publication-title: Optik doi: 10.1016/j.ijleo.2022.170255 – volume: 79 start-page: 508 year: 2023 ident: 91978_CR15 publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2023.08.007 – volume: 2015 start-page: 1 year: 2015 ident: 91978_CR16 publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-014-0331-4 – volume: 22 start-page: 261 year: 2001 ident: 91978_CR11 publication-title: Appl. Math. Mech. doi: 10.1007/BF02437964 – volume: 7 start-page: 512 issue: 7 year: 2023 ident: 91978_CR30 publication-title: Fractal Fract. doi: 10.3390/fractalfract7070512 – volume: 164 start-page: 93 year: 2018 ident: 91978_CR49 publication-title: Optik doi: 10.1016/j.ijleo.2018.02.119 – volume: 243 start-page: 419 year: 2014 ident: 91978_CR37 publication-title: Appl. Math. Comput. – volume: 157 start-page: 1214 year: 2018 ident: 91978_CR53 publication-title: Optik doi: 10.1016/j.ijleo.2017.12.099 – volume: 89 start-page: 2291 year: 2017 ident: 91978_CR35 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-3588-9 – volume: 71 start-page: 103 issue: 2 year: 2016 ident: 91978_CR28 publication-title: Zeitschrift fur Naturforschung A doi: 10.1515/zna-2015-0414 – volume: 147 start-page: 72 year: 2017 ident: 91978_CR46 publication-title: Optik doi: 10.1016/j.ijleo.2017.08.019 – volume: 230 year: 2021 ident: 91978_CR52 publication-title: Optik doi: 10.1016/j.ijleo.2021.166328 – volume: 9 start-page: 19786 issue: 7 year: 2024 ident: 91978_CR26 publication-title: AIMS Math. doi: 10.3934/math.2024966 – volume: 2021 start-page: 1283083 issue: 1 year: 2021 ident: 91978_CR58 publication-title: Math. Probl. Eng. – volume: 9 start-page: 1666 year: 2018 ident: 91978_CR56 publication-title: Res. Phys. – volume: 54 start-page: 402 issue: 7 year: 2022 ident: 91978_CR21 publication-title: Opt. Quant. Electron. doi: 10.1007/s11082-022-03819-0 – volume: 19 start-page: 4037 issue: 11 year: 2014 ident: 91978_CR38 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2014.03.035 – ident: 91978_CR59 doi: 10.22541/au.164873371.12302718/v1 – volume: 7 start-page: 107523 year: 2019 ident: 91978_CR13 publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2933188 – volume: 31 start-page: 442 issue: 1 year: 2021 ident: 91978_CR42 publication-title: Int. J. Numer. Methods Heat Fluid Flow doi: 10.1108/HFF-05-2020-0247 – volume: 55 start-page: 1581 issue: 2 year: 2016 ident: 91978_CR7 publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2015.07.017 – ident: 91978_CR14 doi: 10.1063/5.0167916 – volume: 11 start-page: 2686 issue: 12 year: 2023 ident: 91978_CR29 publication-title: Mathematics doi: 10.3390/math11122686 – volume: 27 start-page: 105 issue: 2 year: 2015 ident: 91978_CR9 publication-title: J. King Saud Univ. Sci. doi: 10.1016/j.jksus.2014.09.001 – volume: 10 start-page: 95 issue: 1 year: 2021 ident: 91978_CR22 publication-title: Propuls. Power Res. doi: 10.1016/j.jppr.2020.12.001 – volume: 157 start-page: 1235 year: 2018 ident: 91978_CR51 publication-title: Optik doi: 10.1016/j.ijleo.2017.12.101 – volume: 222 year: 2020 ident: 91978_CR55 publication-title: Optik doi: 10.1016/j.ijleo.2020.165418 – volume: 99 issue: 6 year: 2024 ident: 91978_CR17 publication-title: Phys. Scr. doi: 10.1088/1402-4896/ad4784 – volume: 182 start-page: 1149 year: 2019 ident: 91978_CR33 publication-title: Optik doi: 10.1016/j.ijleo.2019.02.013 – volume: 186 start-page: 1 issue: 1–2 year: 1992 ident: 91978_CR45 publication-title: Physica A doi: 10.1016/0378-4371(92)90497-E – volume: 49 year: 2023 ident: 91978_CR1 publication-title: Res. Phys. – volume: 25 year: 2021 ident: 91978_CR10 publication-title: Res. Phys. – volume: 7 start-page: 773 issue: 11 year: 2023 ident: 91978_CR25 publication-title: Fractal Fract. doi: 10.3390/fractalfract7110773 – volume: 151 year: 2021 ident: 91978_CR40 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2021.111281 – volume: 224 year: 2020 ident: 91978_CR54 publication-title: Optik doi: 10.1016/j.ijleo.2020.165638 – volume: 153 year: 2021 ident: 91978_CR48 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2021.111523 – volume: 35 start-page: 2150456 issue: 26 year: 2021 ident: 91978_CR57 publication-title: Mod. Phys. Lett. B doi: 10.1142/S021798492150456X – volume: 6 start-page: 2970 issue: 3 year: 2021 ident: 91978_CR6 publication-title: AIMS Math doi: 10.3934/math.2021180 – volume: 30 start-page: 700 issue: 3 year: 2006 ident: 91978_CR18 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2006.03.020 – volume: 7 start-page: 8588 issue: 5 year: 2022 ident: 91978_CR5 publication-title: AIMS Math. doi: 10.3934/math.2022479 – volume-title: Navier Stokes Equation year: 1838 ident: 91978_CR8 – ident: 91978_CR19 doi: 10.1007/BFb0113694 |
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| Snippet | In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with optical... In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov-Ivanov equation (PGIE). This model concerns with optical... Abstract In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with... |
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| SubjectTerms | 639/705 639/705/1041 Algebra Fiber optics Fibers Fractals Humanities and Social Sciences Investigations Mathematics multidisciplinary Nonlinear partial differential equations Optical soliton Ordinary differential equations Partial differential equations Periodic perturbation Perturbed Gerdjikov–Ivanov equation Riccati modified extended simple equation method Science Science (multidisciplinary) |
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| Title | Delving into quasi-periodic type optical solitons in fully nonlinear complex structured perturbed Gerdjikov–Ivanov equation |
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