Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417971 | Journal of Mathematical Analysis and Applications | 2015 | 12 Pages |
Abstract
We formulate and discuss integrable analogue of the sine-Gordon equation on arbitrary time scales. This unification contains the sine-Gordon equation, discrete sine-Gordon equation and the Hirota equation (doubly discrete sine-Gordon equation) as special cases. We present the Lax pair, check compatibility conditions and construct the Darboux-Bäcklund transformation. Finally, we obtain a soliton solution on arbitrary time scale. The solution is expressed by the so-called Cayley exponential function.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jan L. CieÅliÅski, Tomasz Nikiciuk, Kamil WaÅkiewicz,