中国物理B ›› 2003, Vol. 12 ›› Issue (8): 825-830.doi: 10.1088/1009-1963/12/8/301

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The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation

王跃明1, 王明亮2, 张金良3, 任东锋3, 方宗德3   

  1. (1)Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China; (2)Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; (3)School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China
  • 收稿日期:2002-12-21 修回日期:2003-02-28 出版日期:2003-08-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0111050200) and the Natural Science Foundation of Education Committee of Henan Province, China (Grant No 2000110008).

The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation

Zhang Jin-Liang (张金良)a, Ren Dong-Feng (任东锋)a, Wang Ming-Liang (王明亮)bc, Wang Yue-Ming (王跃明)b, Fang Zong-De (方宗德)a   

  1. a School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China; b Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China; c Department of Mathematics, Lanzhou University, Lanzhou 730000, China
  • Received:2002-12-21 Revised:2003-02-28 Online:2003-08-16 Published:2005-03-16
  • Supported by:
    Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0111050200) and the Natural Science Foundation of Education Committee of Henan Province, China (Grant No 2000110008).

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摘要： The periodic wave solutions expressed by Jacobi elliptic functions for the generalized Nizhnik－Novikov－Veselov equation are obtained using the F-expansion method proposed recently. In the limiting cases, the solitary wave solutions and other types of travelling wave solutions for the system are obtained.

Abstract: The periodic wave solutions expressed by Jacobi elliptic functions for the generalized Nizhnik－Novikov－Veselov equation are obtained using the F-expansion method proposed recently. In the limiting cases, the solitary wave solutions and other types of travelling wave solutions for the system are obtained.

Key words: generalized Nizhnik－Novikov－Veselov equation, F-expansion method, Jacobi elliptic functions, periodic wave solutions, solitary wave solutions

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
02.30.Jr (Partial differential equations) 03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 03.65.Ge (Solutions of wave equations: bound states)