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Exact solutions for Wick-type stochastic coupled Kadomtsev–Petviashvili equations

Bin Chen and Yingchao Xie

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The coupled Kadomtsev–Petviashvili (KP) equations with variable coefficients and Wick-type stochastic coupled KP equations are investigated. Exact solutions are shown using the Hermite transform, the homogeneous balance principle and the F-expansion method.


PACS

02.30.Jr Partial differential equations

MSC

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (See also 42C05 for general orthogonal polynomials and functions)

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

Subjects

Mathematical physics

Dates

Issue 4 (28 January 2005)

Received 13 April 2004, in final form 22 November 2004

Published 12 January 2005



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