Exact solutions to generalized Wick-type stochastic Kadomtsev–Petviashvili equation

Cai-Min Wei, Zun-Quan Xia and Nai-Shuo Tian

Chaos, Solitons & Fractals, 2006, vol. 29, issue 5, 1178-1187

Abstract: An auto-Bäcklund transformation (BT) to generalized Wick-type stochastic Kadomtsev–Petviashvili equation (GWSKPE) is obtained by using extended homogeneous balance method. Making use of the auto-BT and Hermite transformation, we obtain many families of exact solutions of the GWSKPE by choosing a special seed solution, which include single soliton-like solutions, multi-soliton-like solutions and special-soliton-like solutions.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:5:p:1178-1187

DOI: 10.1016/j.chaos.2005.08.088

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