The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources
Exactly Solvable and Integrable Systems
2024-06-11 v1
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.
Keywords
Cite
@article{arxiv.2406.05634,
title = {The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources},
author = {Mengyuan Cui and Chunxia Li},
journal= {arXiv preprint arXiv:2406.05634},
year = {2024}
}