GBDT version of the Darboux transformation for the matrix coupled dispersionless equations (local and non-local cases)

DOI10.1093/integr/xyaa004zbMath1481.37086OpenAlexW3041789914MaRDI QIDQ5157899

Roman O. Popovych, Alexander L. Sakhnovich

Publication date: 20 October 2021

Published in: Journal of Integrable Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/integr/xyaa004

zbMATH Keywords

Darboux matrix transfer matrix function complex dispersionless equation generalized matrix eigenvalue matrix coupled dispersionless equation matrix non-local dispersionless equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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