Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 538489, 7 pages
doi:10.1155/2008/538489
Research Article
Exp-Function Method for Solving Huxley Equation
Department of Mathematics, Kunming Teacher's College, Kunming, Yunnan 650031, China
Received 30 August 2007; Revised 13 January 2008; Accepted 24 January 2008
Academic Editor: Oleg Gendelman
Copyright © 2008 Xin-Wei Zhou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Huxley equation is a core mathematical framework for modern biophysically based neural modeling. It is often useful to obtain a generalized solitary solution for fully understanding its physical meanings. There are many methods to solve the equation, but each method can only lead to a special solution. This paper suggests a relatively new method called the Exp-function method for this purpose. The obtained result includes all solutions in open literature as special cases, and the generalized solution with some free parameters might imply some fascinating meanings hidden in Huxley equation.