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New exact soliton-like solutions for variable-coefficient Huxley equation
Dong-Hua Zhang 1 *,Ye-Zhou Li 2,Yi-Tian Gao 3
1.BUPT
2.School of Science, Beijing University of Posts and Telecommunications
3.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金,教育部,国家自然科学基金(No.,,)
Opened online: 8 March 2007
Accepted by: none
Citation: Dong-Hua Zhang,Ye-Zhou Li,Yi-Tian Gao.New exact soliton-like solutions for variable-coefficient Huxley equation[OL]. [ 8 March 2007] http://en.paper.edu.cn/en_releasepaper/content/11329
 
 
With the extended variable-coefficient balancing-act method and symbolic computation, a new auto-Backlund transformation to the variable-coefficient Huxley equation which describes the nerve propagation in biology is derived. In virtue of the auto-Backlund transformation, two families of analytic solutions and soliton-like solutions of the variable-coefficient Huxley equation are obtained. Since the famous Huxley equation is a special case of the variable-coefficient Huxley equation, a new shock wave solution of the Huxley equation is obtained with the same method.
Keywords:variable-coefficient Huxley equation; extended variable-coefficient balancing-act method; auto-Backlundtransformation; Soliton-like solution
 
 
 

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