Reductions of the Volterra lattice

DOI10.1016/j.physleta.2005.01.063zbMath1135.37334arXivnlin/0406026OpenAlexW2082426757MaRDI QIDQ2478755

Andrei K. Svinin

Publication date: 25 March 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0406026

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60)

Related Items

Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions, \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system, Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations

Cites Work

• Unnamed Item
• From the Toda lattice to the Volterra lattice and back
• Bogoyavlensky-Volterra and Birkhoff integrable systems
• Boundary conditions for integrable chains
• Integrable boundary conditions for the Toda lattice
• Boundary value problems for integrable equations compatible with the symmetry algebra
• Reductions of the Volterra and Toda chains