OPTICAL SOLITONS FOR NONLINEAR SCHRÖDINGER EQUATION FORMATTED IN THE ABSENCE OF CHROMATIC DISPERSION THROUGH MODIFIED EXPONENTIAL RATIONAL FUNCTION METHOD AND OTHER DISTINCT SCHEMES

被引:13
|
作者
Wazwaz, Abdul-Majid [1 ]
Alhejaili, Weaam [2 ]
El-Tantawy, S. A. [3 ,4 ]
机构
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
[2] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[3] Port Said Univ, Fac Sci, Dept Phys, Port Said 42521, Egypt
[4] Al Baha Univ, Fac Sci & Arts, Res Ctr Phys RCP, Dept Phys, Al-Baha 1988, Saudi Arabia
关键词
Schrodinger equation; modified exponential rational function method; soliton solutions; FOKAS-LENELLS EQUATION; WAVE SOLUTIONS;
D O I
10.3116/16091833/Ukr.J.Phys.Opt.2024.S1049
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
This new work studies a nonlinear Schrodinger equation (NLSE) formatted without chromatic dispersion. New integration algorithms collectively reveal a variety of optical solitons and other exact solutions of distinct physical structures. This study delves into a toolbox of powerful techniques, including various forms of a refined exponential rational function method, to unlock a rich tapestry of solutions for the examined nonlinear Schrodinger equation. Each method's distinct form unveils unique traveling wave solutions alongside the essential parameter constraints governing their existence. Furthermore, under specific parameter conditions, this toolbox yields a treasure trove of novel optical solutions: modulated waves, bright and dark envelope solitons, and periodic and traveling waveforms. These findings illuminate the diverse landscape of solutions for this equation, paving the way for deeper understanding in fields like optical fibers and plasma physics.
引用
收藏
页码:S1049 / S1059
页数:11
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