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2007•Chinese PhysicsRequires access

Some new exact solutions to the Burgers–Fisher equation and generalized Burgers–Fisher equation

姜璐, Guo Yu-Cui, 徐淑奖

Open publisher page 34 citations

Abstract

Some new exact solutions of the Burgers–Fisher equation and generalized Burgers–Fisher equation have been obtained by using the first integral method. These solutions include exponential function solutions, singular solitary wave solutions and some more complex solutions whose figures are given in the article. The result shows that the first integral method is one of the most effective approaches to obtain the solutions of the nonlinear partial differential equations.

About this research paper

What this paper is about

Some new exact solutions of the Burgers–Fisher equation and generalized Burgers–Fisher equation have been obtained by using the first integral method. These solutions include exponential function solutions, singular solitary wave solutions and some more complex solutions whose figures are given in the article. The result shows that the first integral method is one of the most effective approaches to obtain the solutions of the nonlinear partial differential equations.

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OpenAlex reports 34 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Some new exact solutions of the Burgers–Fisher equation and generalized Burgers–Fisher equation have been obtained by using the first integral method. These solutions include exponential function solutions, singular solitary wave solutions and some more complex solutions whose figures are given in the article. The result shows that the first integral method is one of the most effective approaches to obtain the solutions of the nonlinear partial differential equations.

Key concepts: Burgers' equation, Fisher's equation, Partial differential equation, Fisher equation, Exponential function, Exact differential equation, Exact solutions in general relativity, First-order partial differential equation

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