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Zbl 1229.35278
Zayed, E.M.E.; Abdelaziz, M.A.M.
Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods. (English)
[J] Appl. Math. Comput. 218, No. 5, 2259-2268 (2011). ISSN 0096-3003

Summary: We find the exact traveling wave solutions of the generalized nonlinear Schrödinger (GNLS) equation with variable coefficients using three methods via the generalized extended tanh-function method, the sine-cosine method and the exp-function method. The main objective of this article is to compare the efficiency of these methods by delivering the exact traveling wave solutions of the proposed nonlinear equation.

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations

Keywords: the generalized nonlinear Schrödinger equation with variable coefficients; generalized extended tanh-function method; sine; cosine method; exp-function method; exact solutions

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Zentralblatt MATH Berlin [Germany]