中国物理B ›› 1999, Vol. 8 ›› Issue (5): 326-330.doi: 10.1088/1004-423X/8/5/002

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A SIMPLE SOLITON SOLUTION METHOD FOR THE (2+1) DIMENSIONAL LONG DISPERSIVE WAVE EQUATIONS

吴锋民1, 张解放2   

  1. (1)Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China; (2)Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:1998-09-18 出版日期:1999-05-15 发布日期:1999-05-20

A SIMPLE SOLITON SOLUTION METHOD FOR THE (2+1) DIMENSIONAL LONG DISPERSIVE WAVE EQUATIONS

Zhang Jie-fang (张解放)ab, Wu Feng-min (吴锋民)a   

  1. a Research Center of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, China; b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • Received:1998-09-18 Online:1999-05-15 Published:1999-05-20

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摘要： A simple and direct method is presented to solve the (2+1) dimensional long dispersive wave equation. We introduced a variable dependent transformation in order to convert this equation into the simple forms, which are three coupled linear and bilinear partial differential equations, and give the single and double soliton solutions and the (1, N) dromion solution.

Abstract: A simple and direct method is presented to solve the (2+1) dimensional long dispersive wave equation. We introduced a variable dependent transformation in order to convert this equation into the simple forms, which are three coupled linear and bilinear partial differential equations, and give the single and double soliton solutions and the (1, N) dromion solution.

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations)