Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu’s Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity

In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers and photovoltaic-photo-refractive materials. We found grey and black optical solitons of the governing equation by means of a suitable complex...

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Published inMathematics (Basel) Vol. 11; no. 9; p. 2122
Main Authors Rizvi, Syed T. R., Seadawy, Aly R., Alsallami, Shami A. M.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 30.04.2023
Subjects
ansatz functions method
Breathers
Exact solutions
Exponential functions
Fiber optics
Food science
interaction phenomena
IP-NLSE
Laws, regulations and rules
Mathematical analysis
Nonlinearity
Optical fibers
Optics
Power law
Schrodinger equation
Solitary waves
solitons
Theorems
Online AccessGet full text
ISSN2227-7390
2227-7390
DOI10.3390/math11092122

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Abstract In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers and photovoltaic-photo-refractive materials. We found grey and black optical solitons of the governing equation by means of a suitable complex envelope ansatz solution. By using the Chupin Liu’s theorem (CLT) for the grey and black solitons, we evaluated new categories of combined optical soliton (COS) solutions to the IP-NLSE. The propagation behaviors for homoclinic breathers (HB), multiwaves and M-shape solitons will be analytically examined. All new analytical solutions will be found by an ansatz function scheme and suitable transformations. Multiwave solitons have been reported by using a three-waves technique. Furthermore, two kinds of interactions for M-shape soliton through exponential functions will be examined.
AbstractList In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers and photovoltaic-photo-refractive materials. We found grey and black optical solitons of the governing equation by means of a suitable complex envelope ansatz solution. By using the Chupin Liu’s theorem (CLT) for the grey and black solitons, we evaluated new categories of combined optical soliton (COS) solutions to the IP-NLSE. The propagation behaviors for homoclinic breathers (HB), multiwaves and M-shape solitons will be analytically examined. All new analytical solutions will be found by an ansatz function scheme and suitable transformations. Multiwave solitons have been reported by using a three-waves technique. Furthermore, two kinds of interactions for M-shape soliton through exponential functions will be examined.
Audience Academic
Author Seadawy, Aly R.
Rizvi, Syed T. R.
Alsallami, Shami A. M.
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  surname: Alsallami
  fullname: Alsallami, Shami A. M.
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CitedBy_id crossref_primary_10_1007_s11082_023_05965_5
crossref_primary_10_1007_s12210_024_01288_z
crossref_primary_10_3390_math12050720
crossref_primary_10_1016_j_padiff_2023_100566
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Snippet In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers...
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SubjectTerms ansatz functions method
Breathers
Exact solutions
Exponential functions
Fiber optics
Food science
interaction phenomena
IP-NLSE
Laws, regulations and rules
Mathematical analysis
Nonlinearity
Optical fibers
Optics
Power law
Schrodinger equation
Solitary waves
solitons
Theorems
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Title Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu’s Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity
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https://doaj.org/article/2428c23c9f35420abc2d1f7ca68ac224
Volume 11
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