New analytic solutions of stochastic coupled KdV equations

被引:10
作者
Dai, Chaoqing [1 ]
Chen, Junlang [1 ]
机构
[1] Zhejiang Forestry Univ, Sch Sci, Linan 311300, Peoples R China
关键词
EXP-FUNCTION METHOD;
D O I
10.1016/j.chaos.2009.03.157
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, firstly, we use the exp-function method to seek new exact solutions of the Riccati equation. Then, with the help of Hermit transformation, we employ the Riccati equation and its new exact solutions to find new analytic solutions of the stochastic coupled KdV equation in the white noise environment. As some special examples, some analytic solutions can degenerate into these solutions reported in open literatures. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2200 / 2207
页数:8
相关论文
共 13 条
[1]   The stochastic soliton-like solutions of stochastic KdV equations [J].
Chen, Y ;
Wang, Q ;
Ll, B .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1465-1473
[2]   New exact solutions of the (3+1)-dimensional Burgers system [J].
Dai, Chao-Qing ;
Wang, Yue-Yue .
PHYSICS LETTERS A, 2009, 373 (02) :181-187
[3]   Exp-function method for nonlinear wave equations [J].
He, Ji-Huan ;
Wu, Xu-Hong .
CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708
[4]  
Holden H., 1996, Stochastic Partial Differential Equations
[5]   Uniformly constructing a series of exact solutions for (2+1)-dimensional stochastic Broer-Kaup system [J].
Liu, Qing .
CHAOS SOLITONS & FRACTALS, 2008, 36 (04) :1037-1043
[6]   Jacoblan elliptic function expansion solutions for the Wick-type stochastic coupled KdV equations [J].
Ma, Zheng-Yi ;
Zhu, Jia-Min .
CHAOS SOLITONS & FRACTALS, 2007, 32 (05) :1679-1685
[7]   EQUATION FOR CONTINUOUS CHAOS [J].
ROSSLER, OE .
PHYSICS LETTERS A, 1976, 57 (05) :397-398
[8]   STOCHASTIC KORTEWEG-DEVRIES EQUATION [J].
WADATI, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (08) :2642-2648
[9]   DEFORMATION OF SOLITONS IN RANDOM-MEDIA [J].
WADATI, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (12) :4201-4203
[10]   STOCHASTIC KORTEWEG-DEVRIES EQUATION WITH AND WITHOUT DAMPING [J].
WADATI, M ;
AKUTSU, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (10) :3342-3350