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Soliton solutions for the Wick-type stochastic KP equation. (English) Zbl 1257.35157

Summary: The Wick-type stochastic KP equation is researched. The stochastic single-soliton solutions and stochastic multisoliton solutions are shown by using the Hermite transform and Darboux transformation.

MSC:

35Q51 Soliton equations
35C08 Soliton solutions
35R60 PDEs with randomness, stochastic partial differential equations
35A22 Transform methods (e.g., integral transforms) applied to PDEs
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