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Variable separation solutions for the (2+1)-dimensional generalized Nizhnik–Novikov–Veselov equation

Chaoqing Dai and Jiefang Zhang

Chaos, Solitons & Fractals, 2007, vol. 33, issue 2, 564-571

Abstract: In this paper, with the variable separation approach and based on the general reduction theory, we successfully obtain the variable separation solutions for the (2+1)-dimensional generalized Nizhnik–Novikov–Veselov (GNNV) equation with the help of an auxiliary equation. Based on the variable separation solution and by selecting appropriate functions, new types of interactions between the multi-valued and the single-valued solitons, such as compacton-like semi-foldon and compacton, peakon-like semi-foldon and peakon, are investigated. Meanwhile, we also discuss the phase shift of these interactions.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:2:p:564-571

DOI: 10.1016/j.chaos.2005.12.044

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