Bosons and fermions interacting integrably with the Korteweg-de Vries field

DOI10.1088/0305-4470/17/16/002zbMath0573.35079OpenAlexW2041452974MaRDI QIDQ3692175

Boris A. Kupershmidt

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1088/0305-4470/17/16/002

zbMATH Keywords

conservation lawsBäcklund transformationsKorteweg-de Vries equationHamiltonian structuresLax representationsMiura mapssuper-integrable extensions

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) Invariance and symmetry properties for PDEs on manifolds (58J70) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (15)

A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy ⋮ Four super integrable equations: nonlocal symmetries and applications ⋮ A new N=2 supersymmetric Korteweg–de Vries equation ⋮ Conservation laws and self-consistent sources for a super-CKdV equation hierarchy ⋮ A quantum group structure in integrable conformal field theories ⋮ A super extension of Heisenberg hierarchy ⋮ Supersymmetric extension of the Korteweg–de Vries equation ⋮ A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws ⋮ A new super-extension of the KdV hierarchy ⋮ Some super systems with local bi-Hamiltonian operators ⋮ Group invariant solutions for the N=2 super Korteweg–de Vries equation ⋮ A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws ⋮ A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system ⋮ A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems ⋮ Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy

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