Exact Solutions of the Wick-type KdV-Burgers Equation

LIU Shao-qing, GAO Guo-cheng

doi:10.13371/j.cnki.chin.q.j.m.2016.02.004

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 2: 139 - 146

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.004

Exact Solutions of the Wick-type KdV-Burgers Equation

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Department of Basic Courses,Shandong University of Science and Technology

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.

Received date: 2014-04-03

Online published: 2020-11-06

Supported by

Supported by the National Natural Science Foundation of China(11271008,61072147)；

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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

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LIU Shao-qing, GAO Guo-cheng . Exact Solutions of the Wick-type KdV-Burgers Equation[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(2) : 139 -146 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.004

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