The Lie algebraic structure of symmetries generated by hereditary symmetries

DOI10.1088/0305-4470/21/9/011zbMath0662.35103OpenAlexW2023229249MaRDI QIDQ3811075

Gue-Zhang Tu

Publication date: 1988

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/21/9/011

zbMATH Keywords

integrable systemssymmetriesLie algebraic structurehereditary symmetries

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (6)

Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations ⋮ Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations ⋮ New set of symmetries and Lie algebraic structures of the Toda lattice hierarchy ⋮ Symmetries for the Ablowitz-Ladik Hierarchy: Part II. Integrable Discrete Nonlinear Schrödinger Equations and Discrete AKNS Hierarchy ⋮ Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy ⋮ A \(\tau\)-symmetry algebra of the generalized derivative nonlinear Schrödinger soliton hierarchy with an arbitrary parameter

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