Three different methods for new soliton solutions of the generalized NLS equation. (English) Zbl 1470.35308

Summary: 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.


35Q53 KdV equations (Korteweg-de Vries equations)
35C08 Soliton solutions
Full Text: DOI


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