Abstract
In this paper we use an analytical-numerical approach to find, in a systematic way, new 1-soliton solutions for a discrete sine-Gordon system in one spatial dimension. Since the spatial domain is unbounded, the numerical scheme employed to generate these soliton solutions is based on the artificial boundary method. A large selection of numerical examples provides much insight into the possible shapes of these new 1-solitons.
| Original language | English |
|---|---|
| Pages (from-to) | 903-918 |
| Number of pages | 16 |
| Journal | Communications in Computational Physics |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Oct 2009 |
Scopus Subject Areas
- Physics and Astronomy (miscellaneous)
User-Defined Keywords
- Artificial boundary method
- Numerical single solitons
- Sine-Gordon equation
- Soliton solutions