Functional Representation of the Volterra Hierarchy

DOI10.2991/JNMP.2005.12.3.6zbMath1101.35390arXivnlin/0410003OpenAlexW3104303412MaRDI QIDQ5482987

Vadim E. Vekslerchik

Publication date: 15 August 2006

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0410003

zbMATH Keywords

conservation lawsBäcklund transformationsVolterra equationsFUNctional EQUation APProach INTegrable DIScrete SYStemsMiwa shifts

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants ⋮ On soliton solutions of the relativistic Lotka-Volterra hierarchy ⋮ On solutions for some class of integrable difference equations

Cites Work

• Solitons and infinite dimensional Lie algebras
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• The problem of integrable discretization: Hamiltonian approach
• A New Derivation of the Bäcklund Transformation for the Volterra Lattice
• Finite-genus solutions for the Ablowitz-Ladik hierarchy

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