2016JOURNAL OF ADVANCES IN PHYSICSOpen access

Extended Jacobian Elliptic Function Expansion Method and Its Applications in Mathematical Physics

Mostafa M. A. Khater

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Abstract

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to some nonlinear evolution equations which play an important role in mathematical physics.

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What this paper is about

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to some nonlinear evolution equations which play an important role in mathematical physics.

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Available abstract

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to some nonlinear evolution equations which play an important role in mathematical physics.

Key concepts: Jacobian matrix and determinant, Elliptic function, Nonlinear system, Elliptic integral, Work (physics), Applied mathematics, Jacobi elliptic functions, Reliability (semiconductor)

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