| Автор | Jonathan A D Wattis |
| Дата выпуска | 1996-11-01 |
| dc.description | In this paper we generalize the results of an earlier paper to describe a moving breather in a discrete sine - Gordon system. The method uses the calculus of variations and perturbation theory to find the discreteness effects of a breather moving through a nonlinear Klein - Gordon lattice. These results are then used to calculate the energy contained in a discrete breather and this is shown to be less than the corresponding breather in a continuous system. The second part of the paper considers the variation of kinetic and potential energies with position of breather; these variations are analysed using Peierls - Nabarro-type calculations. The results of this analysis show that small amplitude breathers can move through a lattice almost unhindered by discreteness, thus demonstrating recent results of MacKay and Aubry. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Variational approximations to breathers in the discrete sine - Gordon equation II: moving breathers and Peierls - Nabarro energies |
| Тип | paper |
| DOI | 10.1088/0951-7715/9/6/011 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 9 |
| Первая страница | 1583 |
| Последняя страница | 1598 |
| Аффилиация | Jonathan A D Wattis; Department of Theoretical Mechanics, University of Nottingham, University Park, Nottingham NG7 2RD, UK |
| Выпуск | 6 |
