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Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature

Author

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  • Ibrahim, R.S.
  • El-Kalaawy, O.H.

Abstract

A method to construct the tanh-travelling wave solution of the nonlinear partial differential equations (NPDEs) is present, which combines the two kind methods—the tanh function series method and reduction of the NPDEs to a quadrature problem (RQ method). The nonlinear Schrödinger-type (NLS-type) equations (stable, unstable, inhomogeneous and derivative NLS equations, i.e., SNLS, UNLS, IHNLS and DNLS equations) are chosen to illustrate the method and tanh-travelling wave solutions are obtained.

Suggested Citation

  • Ibrahim, R.S. & El-Kalaawy, O.H., 2007. "Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 1001-1008.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:1001-1008
    DOI: 10.1016/j.chaos.2005.10.055
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    Cited by:

    1. Borhanifar, A. & Kabir, M.M. & Maryam Vahdat, L., 2009. "New periodic and soliton wave solutions for the generalized Zakharov system and (2+1)-dimensional Nizhnik–Novikov–Veselov system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1646-1654.
    2. (Benn)Wu, Xu-Hong & He, Ji-Huan, 2008. "EXP-function method and its application to nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 903-910.

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