Generalized Lattice KdV Type Equation – Reduction of the LatticeW3Algebra

DOI10.1143/JPSJ.68.46zbMath0955.37052MaRDI QIDQ4491439

Kazuhiro Hikami

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

zbMATH Keywords

integrable differential-difference equationsintegrals of motionslattice algebra\(q\)-deformed \(W\) algebraaffine Toda field

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)

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