Symmetries of supersymmetric CKP hierarchy and its reduction

DOI10.1016/j.geomphys.2020.103894zbMath1453.37061OpenAlexW3082055472MaRDI QIDQ2207484

Chuanzhong Li, Ruiling Ge

Publication date: 22 October 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.103894

zbMATH Keywords

additional symmetrysix-reduced supersymmetric CKP hierarchysupersymmetric CKP hierarchysupersymmetric Sawada-Kotera equation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (9)

Super modified KP hierarchy in Kac–van de Leur construction ⋮ Miura and Darboux transformations in the SUSY KP hierarchies ⋮ Novel extended Zn-Heisenberg ferromagnet models ⋮ \(N = 2\) multicomponent supersymmetric KP hierarchy and additional symmetries ⋮ \(SW_{1+\infty}\) symmetries of \(N = 2\) supersymmetric CKP hierarchy and its multicomponent generalization ⋮ \(N = 2\) supersymmetric BKP hierarchy with \(SW_{1+\infty}\) symmetries and its multicomponent generalization ⋮ Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies ⋮ Darboux transformations of the supersymmetric constrained B and C type KP hierarchies ⋮ CKP hierarchy and free bosons

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