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

Dengshan Wang () and Hong-Qing Zhang
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Dengshan Wang: Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China
Hong-Qing Zhang: Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 03, 393-412

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.

Keywords: (2 + 1)-dimensional Nizhnik–Novikov–Veselov equation; auto-Bäcklund transformation; single soliton solution; multi-soliton solution; Laurent series expansion (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183105007200

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