The extended F-expansion method and its application for a class of nonlinear evolution equations

被引：333
作者：
Abdou, M. A. [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura 35516, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 31卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2005.09.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of a simple transformation technique, we have shown that the higher-order nonlinear Schrodinger equation in nonlinear optical fibers, a new Hamiltonian amplitude equation, generalized Hirota-Satsuma coupled system and generalized ZK-BBM equation can be reduced to the elliptic-like equation. Then, the extended F-expansion method is used to obtain a series of solutions including the single and the combined nondegenerative Jacobi elliptic function solutions and their degenerative solutions to the above mentioned class of nonlinear evolution equations. (c) 2005 Elsevier Ltd. All rights reserved.
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收藏
页码：95 / 104
页数：10
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