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Wang, Mei-Jiao; Wang, Qi

The stochastic soliton-like solutions of \((2+1)\)-dimensional stochastic Broer-Kaup equation. (English) Zbl 1151.35420

Chaos Solitons Fractals 33, No. 3, 835-844 (2007).
Summary: By means of a generalized method and symbolic computation, we consider the stochastic nontravelling solutions of a Wick-type \((2 + 1)\)-dimensional stochastic Broer-Kaup equation. As a result, we can construct new and more general formal solutions. The solutions obtained here include the nontravelling wave and coefficient function’s stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions, stochastic Jacobi elliptic function solutions.

Cited in 3 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35-04 Software, source code, etc. for problems pertaining to partial differential equations

Software:

Maple
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References:

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