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

R.S. Ibrahim and O.H. El-Kalaawy

Chaos, Solitons & Fractals, 2007, vol. 31, issue 4, 1001-1008

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.

Date: 2007
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:4:p:1001-1008

DOI: 10.1016/j.chaos.2005.10.055

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