Applying the Pfaffianization procedure to the two-dimensional Leznov lattice

DOI10.1007/s11232-005-0160-4zbMath1178.37111OpenAlexW2063560224MaRDI QIDQ843825

Xing-Biao Hu, Jun-Xiao Zhao, Hon-Wah Tam

Publication date: 17 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-005-0160-4

zbMATH Keywords

Wronskiansoliton solutionsGrammianLeznov latticePfaffianization

Mathematics Subject Classification ID

Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization ⋮ The two-dimensional Leznov lattice equation and its various solutions ⋮ Matrix integral solutions to the discrete and coupled Leznov lattice equations ⋮ Commutativity of Pfaffianization and Bäcklund Transformations: The Leznov Lattice

Cites Work

• Pfaffianization of the Davey-Stewartson equations
• Graded Lie algebras, representation theory, integrable mappings and integrable systems
• Pfaffianization of the two-dimensional Toda lattice
• Generalizing the KP hierarchies: Pfaffian hierarchies
• 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
• Hierarchies of Coupled Soliton Equations. I

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