Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order

doi:10.1088/1674-1056/18/8/013

中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3169-3173.doi: 10.1088/1674-1056/18/8/013

Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order

韩立波¹, 邓习军², 燕子宗²

(1)College of Physical Science and Technology, Yangtze University, Jingzhou 434023, China; (2)School of Information and Mathematics, Yangtze University, Jingzhou 434023, China

收稿日期:2008-11-02 修回日期:2008-11-23 出版日期:2009-08-20 发布日期:2009-08-20
基金资助:
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).

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

Received:2008-11-02 Revised:2008-11-23 Online:2009-08-20 Published:2009-08-20
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: travelling wave solutions, first integral method, generalized Burgers--Huxley equation with nonlinear terms of any order

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations)

邓习军, 燕子宗, 韩立波. Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order[J]. 中国物理B, 2009, 18(8): 3169-3173.

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[J]. Chin. Phys. B, 2009, 18(8): 3169-3173.

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Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order

Travelling solitary wave solutions for the generalized Burgers--Huxley equation with nonlinear terms of any order

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