Exact solutions of the Sinh-Gordon type equations
Abstract
We study the hyperbolic and elliptic versions of the sine-Gordon and sinh-Gordon equations on the real plane in a unified way and we construct solutions via the methods of functional separation and the Hirota bilinear method. We use a related unified Backlund transformation, to construct new solutions.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2023
- DOI:
- 10.48550/arXiv.2310.06503
- arXiv:
- arXiv:2310.06503
- Bibcode:
- 2023arXiv231006503P
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- Mathematics - Classical Analysis and ODEs;
- 35A30;
- 35C08;
- 35G20;
- 35Q51