Exact Solutions To Generalized Burgers-Huxley Equation

This paper mainly focuses on finding exact solutions of the generalized Burgers-Huxley equations and has conducted the thorough research and the discussion.Through serveral methods,which obtained a number of new solutions of this equation and its special form equations.The main content is depicted as follows:Firstly,we study the history,current situation and future of our research, at the same time introduce the main work of this paper.Secondly,we introduce some primary conception and denotation relate to this paper,gave the definition and befallen mechanism of solitons,discuss the similarities and differences between soliton with solitary wave,classified the solitons which we have known according to the dimension of the space. At the same time,make out some explain necessary to the exact solutions,approximately solutions and similar solutions which tend to be confued.Thirdly,we introduce several methods to obtain solutions of the nonlinear equations.Such as,computer algebra method,homogeneous balance method,Backlund and Auto-Backlund transformation and modified tanh-coth method.Finally,Using the several methods to obtain solutions of the nonlinear equations which introduced above,we study the exact solutions of the generalized Burgers-Huxley equation and its special form equations,which obtained a number of new solutions of this equation and its special form equations.