A geometric construction of solutions of the strict \(\mathbf{h}\)-hierarchy

DOI10.1134/S0040577919070043zbMath1429.37037OpenAlexW2965514439WikidataQ127409699 ScholiaQ127409699MaRDI QIDQ2281378

Yanyan Li

Publication date: 19 December 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919070043

zbMATH Keywords

linearizationLax equationmatrix pseudodifferential operatormatrix wave function

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 topology, geometry and differential geometry (37K25) 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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• Integrable deformations in the matrix pseudo differential operators
• Loop groups and equations of KdV type
• Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Differential-difference AKNS equations and homogeneous Heisenberg algebras
• Commuting flows and conservation laws for Lax equations

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