Journal
CHAOS SOLITONS & FRACTALS
Volume 18, Issue 2, Pages 299-309Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0960-0779(02)00653-7
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Our extended Jacobi elliptic function expansion method is further improved to be a more powerful method, which is still called the extended Jacobi elliptic function expansion method, by using 12 Jacobi elliptic functions. The new (2 + 1)-dimensional integrable Davey-Stewartson-type is chosen to illustrate the approach. As a consequence, 24 families of Jacobi elliptic function solutions are obtained. When the modulus m --> 1, these doubly periodic solutions degenerate as soliton solutions. The method can be also applied to other nonlinear differential equations. (C) 2003 Elsevier Science Ltd. All rights reserved.
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