On Darboux-Bäcklund transformations for the \(q\)-deformed Korteweg-de Vries hierarchy

DOI10.1023/A:1007628306981zbMath1038.37513arXivsolv-int/9811004OpenAlexW2996616929MaRDI QIDQ1819178

Ming-Hsien Tu, Jiin-Chang Shaw, Chin-Rong Lee

Publication date: 1 February 2000

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9811004

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)

Related Items (13)

The ghost symmetries of the q-KP hierarchy ⋮ Discrete AKNS-D Hierarchy ⋮ Gauge transformations of constrained discrete modified KP systems with self-consistent sources ⋮ The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries ⋮ Two kinds of Darboux-Bäcklund transformations for the \(q\)-deformed KdV hierarchy with self-consistent sources ⋮ The applications of the gauge transformation for the BKP hierarchy ⋮ The determinant representation of the gauge transformation for the discrete KP hierarchy ⋮ A new extended q-deformed KP hierarchy ⋮ The gauge transformation of the q-deformed modified KP hierarchy ⋮ The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies ⋮ The gauge transformation of the modified KP hierarchy ⋮ On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation

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