Report
The sine-Gordon equation on time scales
| العنوان: | The sine-Gordon equation on time scales |
|---|---|
| المؤلفون: | Cieśliński, Jan L., Nikiciuk, Tomasz, Waśkiewicz, Kamil |
| سنة النشر: | 2014 |
| المجموعة: | Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, 34N05, 35Q51, 39A12 |
| الوصف: | 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-B\"acklund transformation. Finally, we obtain a soliton solution on arbitrary time scale. The solution is expressed by the so called Cayley exponential function. Comment: 16 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1404.3539 |
| رقم الانضمام: | edsarx.1404.3539 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |