The stochastic soliton-like solutions of stochastic KdV equations

Yong Chen, Qi Wang and Biao Li

Chaos, Solitons & Fractals, 2005, vol. 23, issue 4, 1465-1473

Abstract: By means of a generalized method and symbolic computation, we consider a stochastic KdV equation Ut+f(t)U♢Ux+g(t)Uxxx=W(t)♢R♢(t,U,Ux,Uxxx). We construct new and more general formal solutions. At the same time, we recover all the solutions found by Xie [Phys. Lett. A 310 (2003) 161]. The solutions obtained include the nontravelling wave and coefficient function’s stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.

Date: 2005
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:4:p:1465-1473

DOI: 10.1016/j.chaos.2004.06.049

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