| Soliton Solutions for Anti-cubic Nonlinearity using Three Analytical Approaches |
| Muhammad Ramzan,Yu-Ming Chu,Hamood ur Rehman,Muhammad Shoaib Saleem,Choonkil Park |
| Keywords:Nonlinear Schrodinger equation; anti-cubic nonliearity; Modified Kudryashov method; |
| Abstract: |
| In this article, three constructive techniques namely,
$\rm Exp_{a}$-function method, the modified Kudryashov method and
the generalized tanh-method are adopted to analyze the nonlinear
Schr\"{o}dinger equation having anti-cubic nonlinearity. Nonlinear
Schr\"{o}dinger equation is a comprehensive model that governs wave
behavior in optical fiber. Cubic-quintic nonlinear Schr\"{o}dinger
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. |
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