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2010•Journal of Guangzhou UniversityRequires access

The new explicit and exact solutions to the nonlinear Schrdinger equation

Yadong Shang

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Abstract

In this paper,new explicit and exact Jacobian elliptic solutions of the nonlinear Schrdinger equation are obtained by using the extended mapping method.As a result,the exact solutions include new solitary wave solutions,triangular and hyperbolic functions solutions,and the exact solutions in the limiting cases have also been studied.The result reveals that the method is straightforward and effective.

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What this paper is about

In this paper,new explicit and exact Jacobian elliptic solutions of the nonlinear Schrdinger equation are obtained by using the extended mapping method.As a result,the exact solutions include new solitary wave solutions,triangular and hyperbolic functions solutions,and the exact solutions in the limiting cases have also been studied.The result reveals that the method is straightforward and effective.

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Available abstract

In this paper,new explicit and exact Jacobian elliptic solutions of the nonlinear Schrdinger equation are obtained by using the extended mapping method.As a result,the exact solutions include new solitary wave solutions,triangular and hyperbolic functions solutions,and the exact solutions in the limiting cases have also been studied.The result reveals that the method is straightforward and effective.

Key concepts: Jacobian matrix and determinant, Elliptic function, Nonlinear system, Mathematics, Exact solutions in general relativity, Limiting, Mathematical analysis, Traveling wave

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