On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization
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Publication:2642122
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
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
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- 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
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- 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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