期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 208, 期 2, 页码 440-445出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2008.12.005
关键词
(G '/G)-expansion method; Travelling wave solutions; Solitary wave solutions; Homogeneous balance; Higher-order nonlinear Schrodinger equation
资金
- Natural Science Foundation of Education Department of Henan Province of China [2006110002, 2007110010]
- Youth Foundation of Henan University of Science and Technology [2008QN026]
The higher-order nonlinear Schrodinger equation is reduced to a nonlinear ordinary differential equation (ODE) by using a simple transformation, various solutions of the nonlinear ODE are obtained by the (G'/G)-expansion method proposed recently. With the aid of solutions of the nonlinear ODE more explicit travelling wave solutions involving two arbitrary parameters of the higher-order nonlinear Schrodinger equation are found out. The travelling waves are expressed by the hyperbolic functions, trigonometric functions and rational functions. When the parameters are taken as special values the solitary waves are also derived from the travelling waves. (C) 2008 Elsevier Inc. All rights reserved.
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