On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization

DOI10.1016/j.jmaa.2007.01.090zbMath1142.37048OpenAlexW2020880241MaRDI QIDQ2642122

Guo-Fu Yu, Xing-Biao Hu, Hon-Wah Tam

Publication date: 20 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.090

zbMATH Keywords

pfaffianizationCasorati solutiondiscrete Leznov lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

A hierarchy of Hamiltonian lattice equations associated with the relativistic Toda type system ⋮ Matrix integral solutions to the discrete and coupled Leznov lattice equations

Cites Work

• Unnamed Item
• Applying the Pfaffianization procedure to the two-dimensional Leznov lattice
• Pfaffianization of the Davey-Stewartson equations
• Graded Lie algebras, representation theory, integrable mappings and integrable systems
• Pfaffianization of the two-dimensional Toda lattice
• Pfaffianization of the semi-discrete Toda equation
• Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
• A bilinear approach to a Pfaffian self-dual Yang-Mills equation
• Pfaffianization of the discrete KP equation
• Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
• Some new results on the Błaszak-Marciniak, 3-field and 4-field lattices

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