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2012•Journal of Chaohu CollegeRequires access

GENERAL JACOBI FUNCTION EXQANSION METHOD AND PERIODIC ELLIPTIC FUNCTION SOLUTIONS OF THE NONLINEAR SCHRDINGER EQUATION

Liang-Ma Shi

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Abstract

On the basis of new function made up of three basic Jacobi,general Jacobi elliptic function expansion method is further extended and applied to solve the nonlinear Schrdinger equation.A serial of envelope periodic solutions are obtained by this method.When modulus or these periodic solutions degenerate to the corresponding solitary wave solutions and trigonometric function solutions.

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What this paper is about

On the basis of new function made up of three basic Jacobi,general Jacobi elliptic function expansion method is further extended and applied to solve the nonlinear Schrdinger equation.A serial of envelope periodic solutions are obtained by this method.When modulus or these periodic solutions degenerate to the corresponding solitary wave solutions and trigonometric function solutions.

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Available abstract

On the basis of new function made up of three basic Jacobi,general Jacobi elliptic function expansion method is further extended and applied to solve the nonlinear Schrdinger equation.A serial of envelope periodic solutions are obtained by this method.When modulus or these periodic solutions degenerate to the corresponding solitary wave solutions and trigonometric function solutions.

Key concepts: Elliptic function, Mathematical analysis, Trigonometric functions, Theta function, Mathematics, Jacobi elliptic functions, Degenerate energy levels, Elliptic integral

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GENERAL JACOBI FUNCTION EXQANSION METHOD AND PERIODIC ELLIPTIC FUNCTION SOLUTIONS OF THE NONLINEAR SCHRDINGER EQUATION — Research Paper | ScholarLens