Miura and auto-Bäcklund transformations for the cKP and cmKP hierarchies

DOI10.1063/1.532164zbMath0892.58069OpenAlexW1966516519MaRDI QIDQ4378320

Ming-Hsien Tu, Jiin-Chang Shaw

Publication date: 27 July 1998

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

Full work available at URL: https://doi.org/10.1063/1.532164

zbMATH Keywords

Miura transformconstrained KP hierarchyauto-Bäcklund transformconstrained modified KP hierarchy

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (18)

Modified DKP hierarchy as modified BKP hierarchy ⋮ Miura and Darboux transformations in the SUSY KP hierarchies ⋮ On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions ⋮ Virasoro symmetries of the constrained dispersionless mKP hierarchy ⋮ Symmetries and bilinear equations for the modified BKP hierarchy ⋮ A new generalized constrained modified KP hierarchy ⋮ Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases ⋮ Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations ⋮ On the Miura Map between the dispersionless KP and dispersionless modified KP hierarchies ⋮ Bilinear identities for the constrained modified KP hierarchy ⋮ CKP hierarchy and free bosons ⋮ Binary Darboux–Bäcklund transformations for the Manin–Radul super KdV hierarchy ⋮ Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence ⋮ Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies ⋮ The gauge transformation of the modified KP hierarchy

Cites Work

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