Abundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equation. (English) Zbl 1143.35357
Summary: Abundant new travelling wave solutions of the (2 + 1)-dimensional Sine-Gordon equation are obtained by the generalized Jacobi elliptic function method. The solutions obtained include the kink-shaped solutions, bell-shaped solutions, singular solutions and periodic solutions.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B10 | Periodic solutions to PDEs |
| 35C05 | Solutions to PDEs in closed form |
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