Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 183, Issue 2, Pages 1190-1200Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.06.043
Keywords
generalized F-expansion method; jacobi elliptic function solutions; soliton-like solutions; trigonometric function solutions
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In this paper, a generalized F-expansion method is proposed to seek more general exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1)-dimensional Konopelchenko-Dubrovsky equations to illustrate the validity and advantages of the method. As a result, many new and more general exact solutions are obtained including single and combined Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions. The method can be applied to other nonlinear partial differential equations in mathematical physics. (c) 2006 Elsevier Inc. All rights reserved.
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