中国物理B ›› 2003, Vol. 12 ›› Issue (12): 1341-1348.doi: 10.1088/1009-1963/12/12/001

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The periodic wave solutions for two systems of nonlinear wave equations

王跃明1, 王明亮2, 张金良3   

  1. (1)Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; (2)Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; (3)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
  • 收稿日期:2003-03-21 修回日期:2003-05-21 出版日期:2003-12-16 发布日期:2005-03-16
  • 基金资助:
    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).

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   

  1. 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
  • Received:2003-03-21 Revised:2003-05-21 Online:2003-12-16 Published:2005-03-16
  • Supported by:
    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).

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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.

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.

Key words: high-and low-frequency wave interaction systems, F-expansion method, periodic wave solutions expressed by Jacobi elliptic functions, solitary wave solutions

中图分类号:  (Partial differential equations)

  • 02.30.Jr