The periodic wave solutions for two systems of nonlinear wave equations
Wang Ming-Liang (王明亮)ab, Wang Yue-Ming (王跃明)a, Zhang Jin-Liang (张金良)ac
a Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; b Department of Mathematics, Lanzhou University, Lanzhou 730000, China; c School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China
Abstract The periodic wave solutions for the Zakharov system of nonlinear wave equations and a long－short-wave interaction system are obtained by using the F-expansion method, which can be regarded as an overall generalization of Jacobi elliptic function expansion proposed recently. In the limit cases, the solitary wave solutions for the systems are also obtained.
Received: 21 March 2003
Revised: 21 May 2003
Accepted manuscript online:
PACS:
02.30.Jr
(Partial differential equations)
Fund: Project supported by the Natural Science Foundation of Henan Province of China (Grant No 0111050200), and by the Natural Science Foundation of Education Committee of Henan Province of China (Grant No 2000110008), and the Science Foundation of Henan University of Science and Technology (Grant No 20020032).
Cite this article:
Wang Ming-Liang (王明亮), Wang Yue-Ming (王跃明), Zhang Jin-Liang (张金良) The periodic wave solutions for two systems of nonlinear wave equations 2003 Chinese Physics 12 1341
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