Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 14, Issue 8, Pages 3220-3225Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2009.01.006
Keywords
Nonlinear partial differential equations; Auxiliary ordinary differential equation; Exact complex solutions
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Funding
- Science Research Plan of Shandong Province Education Department [J081-106]
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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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