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

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  • Dai, Chaoqing
  • Zhang, Jiefang

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.

Suggested Citation

  • Dai, Chaoqing & Zhang, Jiefang, 2007. "Variable separation solutions for the (2+1)-dimensional generalized Nizhnik–Novikov–Veselov equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 564-571.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:564-571
    DOI: 10.1016/j.chaos.2005.12.044
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    Cited by:

    1. Dai, Chaoqing & Ni, Yongzhou, 2008. "Novel interactions between solitons of the (2+1)-dimensional dispersive long wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 269-277.

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