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2011•Journal of Qingdao Technological UniversityRequires access

The New Solutions of Combined KdV Equation with Two Methods

Yi Zheng

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Abstract

In connection with the combined KdV equation,its solutions of Jacobi cosine elliptic function,the third kind of Jacobi elliptic function and the singular traveling wave were studied respectively by means of Jacobi elliptic function and modified hyperbolic tangent function expansion methods.The new periodic solutions of KdV equations were obtained by this method,which can be applied to the solutions of other kinds of nonlinear equations.

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What this paper is about

In connection with the combined KdV equation,its solutions of Jacobi cosine elliptic function,the third kind of Jacobi elliptic function and the singular traveling wave were studied respectively by means of Jacobi elliptic function and modified hyperbolic tangent function expansion methods.The new periodic solutions of KdV equations were obtained by this method,which can be applied to the solutions of other kinds of nonlinear equations.

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Available abstract

In connection with the combined KdV equation,its solutions of Jacobi cosine elliptic function,the third kind of Jacobi elliptic function and the singular traveling wave were studied respectively by means of Jacobi elliptic function and modified hyperbolic tangent function expansion methods.The new periodic solutions of KdV equations were obtained by this method,which can be applied to the solutions of other kinds of nonlinear equations.

Key concepts: Korteweg–de Vries equation, Elliptic function, Hyperbolic function, Trigonometric functions, Jacobi elliptic functions, Mathematics, Mathematical analysis, Nonlinear system

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