Stochastic soliton-like solutions and theirs stochastic excitations under a (2+1)-dimensional stochastic dispersive long wave system

Abstract

In this paper, applications of a Wick-type (2+1)-dimensional stochastic dispersive long wave system have been researched. By using the Hermite transformation and the generalized variable coefficient algebraic method (GVCAM), coefficient function’s stochastic soliton-like solutions, singular stochastic soliton-like solutions and stochastic triangular function solutions were established. The results may be important to help us find more newer stochastic excitations, especially the stochastic solitary wave excitations.