A unified method for solving sinh-Gordon--type equations
Abstract
By introducing an auxiliary ordinary differential equation and using its abundant types of solutions obtained by symbol computation software Mathematica, we present a simple and direct method to uniformly construct the explicit exact solutions for sinh-Gordon-type equations. As illustrative examples, many explicit exact solutions to certain physically significant sinh-Gordon-type equations, comprising the sinh-Gordon equation, double sinh-Gordon equation, are found by means of this approach.
- Publication:
-
Nuovo Cimento B Serie
- Pub Date:
- February 2006
- DOI:
- 10.1393/ncb/i2005-10164-6
- Bibcode:
- 2006NCimB.121..115X