2013Luoyang Shifan Xueyuan xuebaoRequires access

Application of EXP-Function Method and Zakharov Equation

Yang Qiong-fen

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Abstract

Based on the auxiliary equation method,new solutions of auxiliary equation-Riccati equation in terms of exponential function are obtained using EXP-function method.We obtain a diversity of new exact solutions of Zakharov equation.Moreover,hyperbolic function solutions and trigonometric functions solutions are got.This method can be used to find new exact solutions to other nonlinear evolution equations.

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What this paper is about

Based on the auxiliary equation method,new solutions of auxiliary equation-Riccati equation in terms of exponential function are obtained using EXP-function method.We obtain a diversity of new exact solutions of Zakharov equation.Moreover,hyperbolic function solutions and trigonometric functions solutions are got.This method can be used to find new exact solutions to other nonlinear evolution equations.

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Available abstract

Based on the auxiliary equation method,new solutions of auxiliary equation-Riccati equation in terms of exponential function are obtained using EXP-function method.We obtain a diversity of new exact solutions of Zakharov equation.Moreover,hyperbolic function solutions and trigonometric functions solutions are got.This method can be used to find new exact solutions to other nonlinear evolution equations.

Key concepts: Riccati equation, Hyperbolic function, Mathematics, Exponential function, Trigonometric functions, Function (biology), Burgers' equation, Applied mathematics

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