Homoclinic solutions for Davey-Stewartson equation

Jian Huang and Zhengde Dai

Chaos, Solitons & Fractals, 2008, vol. 35, issue 5, 996-1002

Abstract: In this paper, we firstly prove the existence of homoclinic solutions for Davey-Stewartson I equation (DSI) with the periodic boundary condition. Then we obtain a set of exact homoclinic solutions by the novel method-Hirota’s method. Moreover, the structure of homoclinic solutions has been investigated. At the same time, we give some numerical simulations which validate these theoretical results.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:5:p:996-1002

DOI: 10.1016/j.chaos.2006.06.022

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