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2017•Unpublished venueOpen access

The (G'/G)-Expansion Method for the Sine-Gordon Equation, Sinh-Gordon Equation and Liouville Equaiton

Hui-Ju Dai, Lian-Zhong Li

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Abstract

In this paper, the (G'/G)-expansion method is applied to find the exact solutions for Sine-Gordon equation, Sinh-Gordon equation and Liouville equaiton.The (G'/G)-expansion method is an effective method in investigating exact traveling wave solutions to nonlinear evolution equations (NLEEs) in the field of applied mathematics, mathematical physics and engineering.

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What this paper is about

In this paper, the (G'/G)-expansion method is applied to find the exact solutions for Sine-Gordon equation, Sinh-Gordon equation and Liouville equaiton.The (G'/G)-expansion method is an effective method in investigating exact traveling wave solutions to nonlinear evolution equations (NLEEs) in the field of applied mathematics, mathematical physics and engineering.

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Available abstract

In this paper, the (G'/G)-expansion method is applied to find the exact solutions for Sine-Gordon equation, Sinh-Gordon equation and Liouville equaiton.The (G'/G)-expansion method is an effective method in investigating exact traveling wave solutions to nonlinear evolution equations (NLEEs) in the field of applied mathematics, mathematical physics and engineering.

Key concepts: sine-Gordon equation, Hyperbolic function, Mathematics, Sine, Mathematical analysis, Mathematical physics, Applied mathematics, Physics

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