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

^*此作品的通讯作者

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

科研成果: 期刊稿件 › 文章 › 同行评审

20 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1465-1473
页数	9
期刊	Chaos, Solitons and Fractals
卷	23
期	4
DOI	https://doi.org/10.1016/j.chaos.2004.06.049
出版状态	已出版 - 2月 2005
已对外发布	是

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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.",

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AU - Wang, Qi

AU - Li, Biao

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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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ER -

The stochastic soliton-like solutions of stochastic KdV equations

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