The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929378741452800 |
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| author | Cui, Mengyuan Li, Chunxia |
| author_facet | Cui, Mengyuan Li, Chunxia |
| contents | The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources are established and solved. Two families of quasideterminant solutions are presented for the non-Abelian two-dimensional Toda lattice with self-consistent sources. By employing periodic and quasi-periodic reductions, a matrix sine-Gordon equation with self-consistent sources is constructed for the first time, for which exact solutions in terms of quasideterminants are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources Cui, Mengyuan Li, Chunxia Exactly Solvable and Integrable Systems The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources are established and solved. Two families of quasideterminant solutions are presented for the non-Abelian two-dimensional Toda lattice with self-consistent sources. By employing periodic and quasi-periodic reductions, a matrix sine-Gordon equation with self-consistent sources is constructed for the first time, for which exact solutions in terms of quasideterminants are derived. |
| title | The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2406.05634 |