Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order
Deng Xi-Jun(邓习军)a)†, Yan Zi-Zong(燕子宗)a), and Han Li-Bo(韩立波)b)
a School of Information and Mathematics, Yangtze University, Jingzhou 434023, China; b College of Physical Science and Technology, Yangtze University, Jingzhou 434023, China
Abstract In this paper, the travelling wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order are studied. By using the first integral method, which is based on the divisor theorem, some exact explicit travelling solitary wave solutions for the above equation are obtained. As a result, some minor errors and some known results in the previousl literature are clarified and improved.
Received: 02 November 2008
Revised: 23 November 2008
Accepted manuscript online:
Fund: Project supported by
the Research Foundation of Education Bureau of Hubei Province, China
(Grant No Z200612001) and the Natural Science Foundation of Yangtze
University (Grant No 20061222).
Cite this article:
Deng Xi-Jun(邓习军), Yan Zi-Zong(燕子宗), and Han Li-Bo(韩立波) Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order 2009 Chin. Phys. B 18 3169
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