带自一致源的非阿贝尔二维 Toda 格子与矩阵正弦-Gordon方程
可精确求解与可积系统
2024-06-11 v1
摘要
建立并求解带自一致源的非阿贝尔二维 Toda 格子与矩阵正弦-Gordon方程。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.
引用
@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}
}