Traveling wave solutions of the (N+1)-dimensional sine-cosine-Gordon equation

BULUT H., Akturk T., Gurefe Y.

10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), Narvik, Norway, 15 - 18 July 2014, vol.1637, pp.145-149 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1637
  • Doi Number: 10.1063/1.4904573
  • City: Narvik
  • Country: Norway
  • Page Numbers: pp.145-149
  • Yozgat Bozok University Affiliated: Yes


In this study, an isteresting method that assumes phi' = f (sin(phi)) 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.