Integrability on generalized q-Toda equation and hierarchy

DOI10.1080/14029251.2014.936761zbMath1420.37053arXiv1405.5401OpenAlexW1993125990MaRDI QIDQ5230957

No author found.

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5401

zbMATH Keywords

soliton solutionstau functionLax equationgeneralized \(q\)-Toda hierarchygeneralized \(q\)-Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Soliton solutions of \(q\)-Toda lattice by Hirota direct method
• Sato theory on the \(q\)-Toda hierarchy and its extension
• Tau function solutions to a \(q\)-deformation of the KP hierarchy
• String equations of the \( q \)-KP hierarchy
• \(q\)-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
• \(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy
• Block type symmetry of bigraded Toda hierarchy
• Solutions of the bigraded Toda hierarchy
• DISPERSIONLESS BIGRADED TODA HIERARCHY AND ITS ADDITIONAL SYMMETRY
• A new extended q-deformed KP hierarchy
• Solutions of a discretized Toda field equation for from analytic Bethe ansatz
• The n-component KP hierarchy and representation theory
• Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy
• The algebra of q-pseudodifferential symbols and the q-WKP(n) algebra
• The extended bigraded Toda hierarchy

This page was built for publication: Integrability on generalized q-Toda equation and hierarchy