中国物理B ›› 2001, Vol. 10 ›› Issue (10): 893-896.doi: 10.1088/1009-1963/10/10/302

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ABUNDANT EXACT SOLUTION STRUCTURES OF THE NIZHNIK－NOVIKOV－VESELOV EQUATION

张解放   

  1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2001-04-24 修回日期:2001-05-24 出版日期:2001-10-15 发布日期:2005-06-12

ABUNDANT EXACT SOLUTION STRUCTURES OF THE NIZHNIK--NOVIKOV--VESELOV EQUATION

Zhang Jie-fang (张解放)   

  1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2001-04-24 Revised:2001-05-24 Online:2001-10-15 Published:2005-06-12

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摘要： Using the extended homogeneous balance method, we have obtained abundant exact solution structures of a (2+1)-dimensional integrable model, the Nizhnik--Novikov--Veselov equation. By means of leading order terms analysis, the nonlinear transformations of the Nizhnik--Novikov--Veselov equation are given first, and then some special types of single solitary wave solution and multisoliton-like solutions are constructed.

Abstract: Using the extended homogeneous balance method, we have obtained abundant exact solution structures of a (2+1)-dimensional integrable model, the Nizhnik--Novikov--Veselov equation. By means of leading order terms analysis, the nonlinear transformations of the Nizhnik--Novikov--Veselov equation are given first, and then some special types of single solitary wave solution and multisoliton-like solutions are constructed.

Key words: homogeneous balance method, Nizhnik－Novikov－Veselov equation, soliton-like solution

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

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