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
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ISSN2227-7390
2227-7390
DOI10.3390/math11092122

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Summary: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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math11092122