期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 14, 期 8, 页码 3220-3225出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2009.01.006
关键词
Nonlinear partial differential equations; Auxiliary ordinary differential equation; Exact complex solutions
类别
资金
- Science Research Plan of Shandong Province Education Department [J081-106]
The (G'/G)-expansion method can be used to construct exact travelling wave solutions of nonlinear evolution equations. In this paper, we explore new application of this method to some special nonlinear evolution equations, the balance numbers of which are not positive integers. Then new types of exact travelling wave solutions are obtained to the Eckhaus equation, the modified Burgers' equation and a kind of nonlinear reaction-diffusion equation. (C) 2009 Elsevier B.V. All rights reserved.
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