New exact soliton-like solutions for variable-coefficient Huxley equation
首发时间:2007-03-08
Abstract: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
点击查看论文中文信息
New exact soliton-like solutions for variable-coefficient Huxley equation
摘要: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.
论文图表:
引用
No.1132996588117334****
同行评议
共计0人参与
勘误表
New exact soliton-like solutions for variable-coefficient Huxley equation
评论
全部评论0/1000