The stochastic soliton-like solutions of stochastic KdV equations

被引：18

作者：

Chen, Y ^{[1
]}

Wang, Q

Ll, B

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[2] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China

[4] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2004.06.049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of a generalized method and symbolic computation, we consider a stochastic KdV equation U-t + f(t) U <> U-x + g(t)U-xx = W(t) <> R-<>(t, U, U-x, U-xxx). We construct new and more general formal solutions. At the same time, we recover all the solutions found by Xie [Phys. Lett. A 310 (2003) 161]. The solutions obtained include the nontravelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1465 / 1473

页数：9

共 20 条

[1]

CHANDRASEKHARAN K, 1978, ELLIPTIC FUNCTION

[2] A generalized method and general form solutions to the Whitham-Broer-Kaup equation [J].