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

doi:10.1088/1009-1963/10/10/302

Abstract

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.

Keywords: homogeneous balance method Nizhnik－Novikov－Veselov equation soliton-like solution

Received: 24 April 2001
Revised: 24 May 2001
Accepted manuscript online:

PACS:

03.75.Lm

(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

Cite this article:

Zhang Jie-fang (张解放) ABUNDANT EXACT SOLUTION STRUCTURES OF THE NIZHNIK--NOVIKOV--VESELOV EQUATION 2001 Chinese Physics 10 893

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