Lie algebras responsible for zero-curvature representations of scalar evolution equations

DOI10.1016/j.geomphys.2018.10.019zbMath1420.37103arXiv1303.3575OpenAlexW2788949235WikidataQ128968550 ScholiaQ128968550MaRDI QIDQ2416883

Gianni Manno, Sergey Igonin

Publication date: 24 May 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3575

zbMATH Keywords

gauge transformationsintegrable equationsnormal forms for zero-curvature representationsEstabrook-Wahlquist's prolongation algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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