Soliton solutions for anti-cubic nonlinearity using three analytical approaches

  • Ramzan, Muhammad
  • Chu, Yu-Ming
  • Rehman, Hamood ur
  • Saleem, Muhammad Shoaib
  • Park, Choonkil
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초록

In this article, three constructive techniques namely, Expa-function method, the modified Kudryashov method and the generalized tanh-method are adopted to analyze the nonlinear Schrödinger equation having anti-cubic nonlinearity. Nonlinear Schrödinger equation is a comprehensive model that governs wave behavior in optical fiber. Cubic-quintic nonlinear Schrödinger equation, additionally having anti-cubic nonlinear term is investigated to construct bright, dark, kink and singular soliton solutions. The graphical representations of the soliton propagation are also demonstrated by the solutions obtained using these three techniques.

키워드

Nonlinear schrödinger equationanti-cubic nonliearitymodified kudryashov methodexpa-function methodgeneralizedSINGULAR OPTICAL SOLITONSVARIATIONAL ITERATION METHODTIME-DEPENDENT COEFFICIENTSSCHRODINGERS EQUATIONKERRDARKNLSEPERTURBATIONFIBERS
제목
Soliton solutions for anti-cubic nonlinearity using three analytical approaches
저자
Ramzan, Muhammad Chu, Yu-Ming Rehman, Hamood ur Saleem, Muhammad Shoaib Park, Choonkil
DOI
10.11948/20200380
발행일
2021-08
유형
정기학술지(Article(Perspective Article포함))
저널명
Journal of Applied Analysis and Computation
11
4
페이지
2177 ~ 2192