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SOLVING SINE-GORDON TYPE EQUATIONS BY A MODIFIED VARIABLE SEPARATED ODE METHOD

YUANXI XIE

Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414000, P. R. China

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https://doi.org/10.1142/S0217979213500756Cited by:0 (Source: Crossref)

Abstract

Based on a variable separated ODE method presented by Sirendaoreji and Sun, a modified variable separated ODE method is developed to uniformly construct the explicit exact solutions of sine-Gordon type equations by introducing a more general additional variable separated ODE. We demonstrate the effectiveness of our approach by applications to certain physically significant sine-Gordon type equations comprising the sine-Gordon equation and double sine-Gordon equation as particular examples. As a result, we cannot only recover the previously known exact solutions, but also pick up some new formal solutions for the sine-Gordon equation and double sine-Gordon equation by means of this approach.

Keywords:

PACS: 02.30.Jr, 03.65.Ge

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