Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

DOI10.1098/rspa.2007.0321zbMath1138.35082arXiv0711.2594OpenAlexW2133407541MaRDI QIDQ5454663

Chun-Xia Li, Jonathan J. C. Nimmo

Publication date: 31 March 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2594

zbMATH Keywords

kink solutionsnon-Abelian Toda latticequasideterminant solutionsmatrix sine-Gordon equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

• Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
• Darboux transformations for the two-dimensional Toda system
• Quasideterminant solutions of a non-Abelian Hirota–Miwa equation

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