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

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) eq...

Full description

Saved in:
Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2007-02, Vol.31 (4), p.1001-1008
Main Authors: Ibrahim, R.S., El-Kalaawy, O.H.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2005.10.055