Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (2): 139-146.doi: 10.13371/j.cnki.chin.q.j.m.2016.02.004

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Exact Solutions of the Wick-type KdV-Burgers Equation

  

  1. Department of Basic Courses,Shandong University of Science and Technology
  • Received:2014-04-03 Online:2016-06-30 Published:2020-11-06
  • About author:LIU Shao-qing(1977-), female, native of Qingdao, Shandong, a lecturer of Shandong University of Science and Technology, Ph.D., engages in soliton and integrable system; GAO Guo-cheng(1963-), male, native of Xinyang, Henan, a professor of Shandong University of Science and Technology, M.S.D., engages in control theory and optimization.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11271008,61072147);

Abstract: In this paper,we consider the wick-type Kd V-Burgers equation with variable coefficients. By using Tanh method with the aid of Hermite transformation, we deduce the exact solutions which include hyperbolic-exponential, trigonometric-exponential and exponential function solutions for the considered equation.

Key words: stochastic partial differential equation, Tanh method, exact solutions

CLC Number: