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The periodic wave solutions for two systems of nonlinear wave equations
作者姓名:王明亮  王跃明  张金良
作者单位:Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China;Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China;Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China
基金项目: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).
摘    要: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.

关 键 词:非线性波函数  周期波解  Zakharov系统  孤波解  数学物理方法
收稿时间:2003-03-21

The periodic wave solutions for two systems of nonlinear wave equations
Wang Ming-Liang,Wang Yue-Ming and Zhang Jin-Liang.The periodic wave solutions for two systems of nonlinear wave equations[J].Chinese Physics B,2003,12(12):1341-1348.
Authors:Wang Ming-Liang  Wang Yue-Ming and Zhang Jin-Liang
Institution:Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; 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.
Keywords:high-and low-frequency wave interaction systems  F-expansion method  periodic wave solutions expressed by Jacobi elliptic functions  solitary wave solutions
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