Bi-Hamiltonian structure of modified Volterra model

DOI10.1016/S0960-0779(97)00189-6zbMath0956.37050WikidataQ126982443 ScholiaQ126982443MaRDI QIDQ1809565

Takayuki Tsuchida, Miki Wadati

Publication date: 12 March 2001

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

integrabilitybi-Hamiltonianmodified Volterra model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12)

Related Items (8)

Nonlinear integrable systems containing the canonical subsystems of distinct physical origins ⋮ Darboux transformations and recursion operators for differential-difference equations ⋮ A Liouville integrable hierarchy, symmetry constraint, new finite-dimensional integrable systems, involutive solution and expanding integrable models ⋮ A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems ⋮ A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system ⋮ A generalized AKNS hierarchy and its bi-Hamiltonian structures ⋮ A new Lie algebra and corresponding evolution equations hierarchy ⋮ Two types of new Lie algebras and corresponding hierarchies of evolution equations

Cites Work

• Unnamed Item
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• Nonlinear differential–difference equations and Fourier analysis
• A simple model of the integrable Hamiltonian equation
• Tri-Hamiltonian Structure and Complete Integrability of Volterra Model
• The spectral theory of a functional-difference operator in conformal field theory

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