The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.05634
- arXiv:
- arXiv:2406.05634
- Bibcode:
- 2024arXiv240605634C
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems