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Exact Solutions for Variant Boussinesq Equations

WU Shi-xu

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Abstract

F-expansion method is a simple and effective method to seek exact solutions of nonlinear partial differential equations.In this paper,by using the modified F-expansion method,many types of solutions for Variant Boussinesq equations are obtained,including Jacobi elliptic function solutions,solitary wave solutions,triangular function solutions and rational function solutions.

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What this paper is about

F-expansion method is a simple and effective method to seek exact solutions of nonlinear partial differential equations.In this paper,by using the modified F-expansion method,many types of solutions for Variant Boussinesq equations are obtained,including Jacobi elliptic function solutions,solitary wave solutions,triangular function solutions and rational function solutions.

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Available abstract

F-expansion method is a simple and effective method to seek exact solutions of nonlinear partial differential equations.In this paper,by using the modified F-expansion method,many types of solutions for Variant Boussinesq equations are obtained,including Jacobi elliptic function solutions,solitary wave solutions,triangular function solutions and rational function solutions.

Key concepts: Elliptic function, Mathematics, Nonlinear system, Partial differential equation, Simple (philosophy), Mathematical analysis, Function (biology), Rational function

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