Recursion operator for a system with non-rational Lax representation

DOI10.13108/2016-8-2-112zbMath1463.37043OpenAlexW2589007579MaRDI QIDQ5136067

Kostyantyn Zheltukhin

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa347

zbMATH Keywords

recursion operatorhydrodynamic-type systemsnon-rational Lax representation

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)

Cites Work

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• On the construction of recursion operator and algebra of symmetries for field and lattice systems
• Recursion operator and dispersionless rational Lax representation
• Classical \(r\)-matrices and compatible Poisson structures for Lax equations on Poisson algebras
• Recursion operators of some equations of hydrodynamic type
• The Kupershmidt hydrodynamic chains and lattices
• Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems
• On construction of recursion operators from Lax representation
• Remarks on the Waterbag Model of Dispersionless Toda Hierarchy
• Associativity equations in dispersionless integrable hierarchies

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