Soliton solution to the generalized discrete BKP equation and its Bäcklund transformation equations

DOI10.1007/s13160-018-0315-yzbMath1408.35168OpenAlexW2805446169MaRDI QIDQ1756739

Nobuhiko Shinzawa

Publication date: 21 December 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0315-y

zbMATH Keywords

solitonPfaffianBäcklund transformationdiscrete integrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (1)

Mixed soliton solutions for the ultradiscrete BKP equation and its reduction

Cites Work

• Unnamed Item
• On Hirota's difference equations
• On discrete soliton equations related to cellular automata
• The B cklund transformation equations for the ultradiscrete KP equation
• Symmetric linear Bäcklund transformation for discrete BKP and DKP equations
• Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
• Box and ball system as a realization of ultradiscrete nonautonomous KP equation

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