Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures

DOI10.1088/0253-6102/57/6/06zbMath1247.37071OpenAlexW1570051747MaRDI QIDQ2913712

Fucai You

Publication date: 26 September 2012

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/57/6/06

zbMATH Keywords

Lie superalgebrasuper Hamiltonian structuresnonlinear super integrable couplingssuper Dirac hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Superalgebras (17A70)

Related Items (9)

Multi-component super integrable Hamiltonian hierarchies ⋮ A multi-component super integrable Dirac hierarchy ⋮ Super-Hamiltonian structures and conservation laws of a new six-component super-Ablowitz-Kaup-Newell-Segur hierarchy ⋮ A new super extension of Dirac hierarchy ⋮ Tri-integrable couplings of the Giachetti-Johnson soliton hierarchy as well as their Hamiltonian structure ⋮ An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation ⋮ A super integrable hierarchy and its nonlinear super integrable Hamiltonian couplings ⋮ A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems ⋮ Nonlinear superintegrable couplings for supercoupled KdV hierarchy with self-consistent sources

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