On reductions of the discrete Kadomtsev–Petviashvili-type equations

DOI10.1088/1751-8121/aa8a97zbMath1382.39002arXiv1705.04819OpenAlexW3122674787WikidataQ59886387 ScholiaQ59886387MaRDI QIDQ4602768

Wei Fu, Frank W. Nijhoff

Publication date: 1 February 2018

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

Full work available at URL: https://arxiv.org/abs/1705.04819

zbMATH Keywords

reduction\(\tau\)-functiondiscrete integrable systemmulti-dimensional consistencydirect linearisationdiscrete Hirota-Satsuma equationsdiscrete Kaup-Kupershmidt equationsdiscrete KP-type equationsdiscrete Sawada-Kotera equations

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) Discrete version of topics in analysis (39A12)

Related Items (6)

Short wave limit of the Novikov equation and its integrable semi-discretizations ⋮ Unfamiliar aspects of Bäcklund transformations and an associated Degasperis-Procesi equation ⋮ Direct linearization approach to discrete integrable systems associated with ℤ _𝒩 graded Lax pairs ⋮ Direct linearisation of the discrete-time two-dimensional Toda lattices ⋮ A variational perspective on continuum limits of ABS and lattice GD equations ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations

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