In this study, an isteresting method that assumes φ′ = f (sin(φ)) is used for solving the (N + 1)-dimensional sine-cosine-Gordon equation. A new elliptic integral function solution is obtained by this technique, and then this solution is converted into the Jacobi elliptic function solution. This methodology can be applied to solve other types of sine-cosine-Gordon equations.

Topics
Integral calculus, Complex functions
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© 2014 AIP Publishing LLC.
2014
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