Topological and non-topological kink families in non-linear $(\mathbb{S}^1\times \mathbb{S}^1)$-Sigma models
| Autor: | Alonso-Izquierdo, A., Sebastian, A. J. Balseyro, Leon, M. A. Gonzalez |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation 126 (2023) 107503 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.cnsns.2023.107503 |
| Popis: | In this paper we construct a family of Hamilton-Jacobi separable non-linear $\mathbb{S}^1\times\mathbb{S}^1$ Sigma models for which the kink variety can be analytically identified and for which the linear stability of the emerging kinks is ensured. Furthermore, a model with only one vacuum point is found, where all kinks are forced to be non-topological. The non-simply connectedness of the torus guarantees the global stability of all the non-topological kinks in these models. Comment: 22 pages, 14 figures |
| Databáze: | arXiv |
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