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.
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页码：1465 / 1473
页数：9
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