非阿贝尔二维户田晶格和具有自洽源的矩阵正弦-戈登方程

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-06-09 DOI:arxiv-2406.05634

Mengyuan Cui, Chunxia Li

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引用次数: 0

摘要

建立并求解了具有自洽源的非阿贝尔二维托达晶格和矩阵正弦-戈登方程。提出了具有自洽源的非阿贝尔二维托达晶格的两个准周期解族。通过采用周期和准周期还原，首次构建了具有自洽源的矩阵正弦-戈登方程，并推导出准决定子的精确解。

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The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources

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.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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