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.
Traveling wave solutions of the (N + 1)-dimensional sine-cosine-Gordon equation
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 145-149
2014-12-10
5 pages
Conference paper
Electronic Resource
English
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