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Travelling wave solutions to the generalized stochastic KdV equation. (English) Zbl 1148.35349

Summary: By Hermite transformation and a general mapping deformation method, a generalized stochastic KdV equation is considered. Many new types of travelling wave solutions, including solitary wave solutions, periodic wave solutions, Jacobian and Weierstrass doubly periodic wave solutions and other exact excitations are obtained.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35R60 PDEs with randomness, stochastic partial differential equations
35C05 Solutions to PDEs in closed form
35B10 Periodic solutions to PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
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