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.
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