Symmetries and Reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies

DOI10.1063/1.5050499zbMath1408.37119arXiv1907.04169OpenAlexW2904039977WikidataQ128780478 ScholiaQ128780478MaRDI QIDQ4644655

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Publication date: 8 January 2019

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

Full work available at URL: https://arxiv.org/abs/1907.04169

zbMATH Keywords

Kadomtsev-Petviashvili hierarchyGelfand-Dickey hierarchynoncommutative 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) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

On modified \(B\)KP systems and generalizations ⋮ Extensions and generalizations of lattice Gelfand-Dickey hierarchy ⋮ Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy ⋮ Virasoro symmetries of multicomponent Gelfand-Dickey systems ⋮ Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation

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