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The stochastic soliton-like solutions of stochastic mKdV equations
Authors:Yong?Chen  mailto:chenyong@dlut.edu.cn"   title="  chenyong@dlut.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Biao?Li
Affiliation:(1) Department of Mathematics, Ningbo University, 315211 Ningbo, China;(2) Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian, China;(3) Department of Physics, Shanghai Jiao-Tong University, 200030 Shanghai, China;(4) Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, 100080 Beijing, China
Abstract:
In this paper, the generally projective Riccati equations method is improved by means of a generalized transformation. The improved method can be applied to find not only some exact travelling wave solutions but also some soliton-like solutions with the aid of symbolic computation system — Maple. We choose Wick-type stochastic mKdV equations to illustrate the method. As a result, some stochastic soliton-like solutions are obtained.
Keywords:extended projective Riccati equation method  stochastic mKdV equations  stochastic soliton-like solutions
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