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AUTO-BÄCKLUND TRANSFORMATION AND NEW EXACT SOLUTIONS OF THE (2 + 1)-DIMENSIONAL NIZHNIK–NOVIKOV–VESELOV EQUATION

DENGSHAN WANG

Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China

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and

HONG-QING ZHANG

Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China

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https://doi.org/10.1142/S0129183105007200Cited by:29 (Source: Crossref)

Abstract

In this paper, making use of the truncated Laurent series expansion method and symbolic computation we get the auto-Bäcklund transformation of the (2 + 1)-dimensional Nizhnik–Novikov–Veselov equation. As a result, single soliton solution, single soliton-like solution, multi-soliton solution, multi-soliton-like solution, the rational solution and other exact solutions of the (2 + 1)-dimensional Nizhnik–Novikov–Veselov equation are found. These solutions may be useful to explain some physical phenomena.

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