期刊
CHAOS SOLITONS & FRACTALS
卷 24, 期 3, 页码 745-757出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2004.09.014
关键词
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Our Jacobi elliptic function rational expansion method is extended to be a more powerful method, called the extended Jacobi elliptic function rational expansion method, by using more general ansatz. The (1 + 1)-dimensional dispersive long wave equation is chosen to illustrate the approach. As a consequence, we can successfully obtain the solutions found by most existing Jacobi elliptic function methods and find other new and more general solutions at the same time. 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) 2004 Elsevier Ltd. All rights reserved.
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