The stochastic soliton-like solutions of stochastic KdV equations

Yong Chen; Qi Wang; Biao Li

doi:10.1016/j.chaos.2004.06.049

The stochastic soliton-like solutions of stochastic KdV equations

Yong Chen^*
, Qi Wang
, Biao Li

^*Corresponding author for this work

Ningbo University
Chinese Academy of Sciences
Shanghai Jiao Tong University
Dalian University of Technology

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

By means of a generalized method and symbolic computation, we consider a stochastic KdV equation U_t + f(t)U◇ U_x + g(t)U _xxx = W(t)◇ R^◇(t, U, U_x, U _xxx). 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 non-travelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.

Original language	English
Pages (from-to)	1465-1473
Number of pages	9
Journal	Chaos, Solitons and Fractals
Volume	23
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2004.06.049
State	Published - Feb 2005
Externally published	Yes

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10.1016/j.chaos.2004.06.049

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title = "The stochastic soliton-like solutions of stochastic KdV equations",

abstract = "By means of a generalized method and symbolic computation, we consider a stochastic KdV equation Ut + f(t)U◇ Ux + g(t)U xxx = W(t)◇ R◇(t, U, Ux, U xxx). 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 non-travelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.",

author = "Yong Chen and Qi Wang and Biao Li",

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AU - Chen, Yong

AU - Wang, Qi

AU - Li, Biao

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N2 - By means of a generalized method and symbolic computation, we consider a stochastic KdV equation Ut + f(t)U◇ Ux + g(t)U xxx = W(t)◇ R◇(t, U, Ux, U xxx). 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 non-travelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.

AB - By means of a generalized method and symbolic computation, we consider a stochastic KdV equation Ut + f(t)U◇ Ux + g(t)U xxx = W(t)◇ R◇(t, U, Ux, U xxx). 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 non-travelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.

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U2 - 10.1016/j.chaos.2004.06.049

DO - 10.1016/j.chaos.2004.06.049

M3 - 文章

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

The stochastic soliton-like solutions of stochastic KdV equations

Abstract

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