Hamiltonian structure of the super evolution equation

DOI10.1063/1.528881zbMath0705.58024OpenAlexW2060946033MaRDI QIDQ3485632

Lining Zhang, Yi-Shen Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528881

zbMATH Keywords

super AKNS systemHamiltonian solitonssupersymmetric symplectic matrix

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (18)

A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws ⋮ Four super integrable equations: nonlocal symmetries and applications ⋮ A new integrable symplectic map by the binary nonlinearization to the super AKNS system ⋮ The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems ⋮ Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations ⋮ Multi-component super integrable Hamiltonian hierarchies ⋮ BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM ⋮ Super-Hamiltonian structures and conservation laws of a new six-component super-Ablowitz-Kaup-Newell-Segur hierarchy ⋮ A new super extension of Dirac hierarchy ⋮ A supertrace identity and its applications to superintegrable systems ⋮ Constraint and nonlinearization of supersymmetric equations with some special forms of Lax pairs ⋮ INTEGRABLE COUPLINGS OF SUPER KAUP–NEWELL EQUATION HIERARCHY ⋮ A matrix Lie superalgebra and its applications ⋮ Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system ⋮ Two types of Lie super-algebra for the super-integrable tu-hierarchy and its super-Hamiltonian structure ⋮ A LIE SUPERALGEBRA AND CORRESPONDING HIERARCHY OF EVOLUTION EQUATIONS ⋮ Nonlinear super integrable Hamiltonian couplings ⋮ Nonlinear superintegrable couplings for supercoupled KdV hierarchy with self-consistent sources

Cites Work

• Superspace Formulation of the Classical Spectral Transform Method for the Massive Thirring Model
• On the Bäcklund transformation and Hamiltonian properties of superevaluation equations

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