Affiliation:
1. Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414000, P. R. China
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics