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Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order
Authors:Deng Xi-Jun  Yan Zi-Zong  Han Li-Bo
Affiliation:School of Information and Mathematics, Yangtze University, Jingzhou 434023, China; College of Physical Science and Technology, Yangtze University, Jingzhou 434023, China
Abstract:In this paper, the travelling wave solutions for the generalizedBurgers--Huxley equation with nonlinear terms of any order arestudied. By using the first integral method, which is based on thedivisor theorem, some exact explicit travelling solitary wavesolutions for the above equation are obtained. As a result, someminor errors and some known results in the previousl literatureare clarified and improved.
Keywords:travelling wave solutions   firstintegral method   generalized Burgers--Huxley equation with nonlinearterms of any order
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