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2007•Journal of Tangshan Teachers CollegeRequires access

Jacobi Elliptic Function Expansion Methed to a New Type of NLS Equations

Duojie Jia

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Abstract

With the asistance of modified Jacobi elliptic function expansion method,not only the Jacobi elliptic sine function solutions,Jacobi elliptic cosine function solutions of a new type of nonlinear Schrodinger(NLS)equation are obtained,but also its simple solution is obtained.The periodic solutions obtained by this method can be reduced to the corresponding solitary solutions under the limit condition.Some of their corresponding graphs drawn with Mathematica and OriginPro are given.

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What this paper is about

With the asistance of modified Jacobi elliptic function expansion method,not only the Jacobi elliptic sine function solutions,Jacobi elliptic cosine function solutions of a new type of nonlinear Schrodinger(NLS)equation are obtained,but also its simple solution is obtained.The periodic solutions obtained by this method can be reduced to the corresponding solitary solutions under the limit condition.Some of their corresponding graphs drawn with Mathematica and OriginPro are given.

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Available abstract

With the asistance of modified Jacobi elliptic function expansion method,not only the Jacobi elliptic sine function solutions,Jacobi elliptic cosine function solutions of a new type of nonlinear Schrodinger(NLS)equation are obtained,but also its simple solution is obtained.The periodic solutions obtained by this method can be reduced to the corresponding solitary solutions under the limit condition.Some of their corresponding graphs drawn with Mathematica and OriginPro are given.

Key concepts: Jacobi elliptic functions, Elliptic function, Elliptic integral, Sine, Trigonometric functions, Mathematics, Mathematical analysis, Type (biology)

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