A Generic Nonlinear Evolution Equation of Magnetic Type II. Particular Solutions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915036098723840 |
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| author | Valchev, T. |
| author_facet | Valchev, T. |
| contents | We consider a matrix nonlinear partial differential equation that generalizes Heisenberg ferromagnet equation. This generalized Heisenberg ferromagnet equation is completely integrable with a linear bundle Lax pair related to the pseudo-unitary algebra. This allows us to explicitly derive particular solutions by using dressing technique. We shall discuss two classes of solutions over constant background: soliton-like solutions and quasi-rational solutions. Both classes have their analogues in the case of the Heisenberg ferromagnet equation related to the same Lie algebra. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_18165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Generic Nonlinear Evolution Equation of Magnetic Type II. Particular Solutions Valchev, T. Exactly Solvable and Integrable Systems 17B80, 35C05, 35C08, 37K10 We consider a matrix nonlinear partial differential equation that generalizes Heisenberg ferromagnet equation. This generalized Heisenberg ferromagnet equation is completely integrable with a linear bundle Lax pair related to the pseudo-unitary algebra. This allows us to explicitly derive particular solutions by using dressing technique. We shall discuss two classes of solutions over constant background: soliton-like solutions and quasi-rational solutions. Both classes have their analogues in the case of the Heisenberg ferromagnet equation related to the same Lie algebra. |
| title | A Generic Nonlinear Evolution Equation of Magnetic Type II. Particular Solutions |
| topic | Exactly Solvable and Integrable Systems 17B80, 35C05, 35C08, 37K10 |
| url | https://arxiv.org/abs/2403.18165 |