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Three Different Methods for New Soliton Solutions of the Generalized NLS Equation

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  • Anwar Ja’afar Mohamad Jawad

Abstract

Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to obtain the soliton solutions. The effectiveness of these methods is demonstrated by applications to the RKL model, the generalized derivative NLS equation. The solitary wave solutions and trigonometric function solutions are obtained. The obtained solutions are very useful in the nonlinear pulse propagation through optical fibers.

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  • Anwar Ja’afar Mohamad Jawad, 2017. "Three Different Methods for New Soliton Solutions of the Generalized NLS Equation," Abstract and Applied Analysis, Hindawi, vol. 2017, pages 1-8, October.
    • Handle: RePEc:hin:jnlaaa:5137946
    DOI: 10.1155/2017/5137946
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    Cited by:

    1. Ndogmo, J.C., 2023. "Group classification and exact solutions of a class of nonlinear waves," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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