TY - JOUR
T1 - The stochastic soliton-like solutions of stochastic KdV equations
AU - Chen, Yong
AU - Wang, Qi
AU - Li, Biao
PY - 2005/2
Y1 - 2005/2
N2 - By means of a generalized method and symbolic computation, we consider a stochastic KdV equation Ut + f(t)U◇ Ux + g(t)U xxx = W(t)◇ R◇(t, U, Ux, 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 non-travelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.
AB - By means of a generalized method and symbolic computation, we consider a stochastic KdV equation Ut + f(t)U◇ Ux + g(t)U xxx = W(t)◇ R◇(t, U, Ux, 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 non-travelling wave and coefficient function's stochastic soliton-like solutions, singular stochastic soliton-like solutions, stochastic triangular functions solutions.
UR - https://www.scopus.com/pages/publications/6344239078
U2 - 10.1016/j.chaos.2004.06.049
DO - 10.1016/j.chaos.2004.06.049
M3 - 文章
AN - SCOPUS:6344239078
SN - 0960-0779
VL - 23
SP - 1465
EP - 1473
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 4
ER -