An operator valued extension of the super Korteweg–de Vries equations

DOI10.1063/1.1368139zbMath1061.35102arXivhep-th/0007103OpenAlexW1570599619MaRDI QIDQ2774921

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Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0007103

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)

Related Items (9)

Exact solutions of supersymmetric Burgers equation with bosonization procedure ⋮ A Super mKdV Equation: Bosonization, Painlevé Property and Exact Solutions ⋮ Supersymmetric exact sequence, heat kernel and super Korteweg–de Vries hierarchy ⋮ Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation ⋮ Interaction solutions for supersymmetric mKdV-B equation ⋮ Invariant interaction solutions for a supersymmetric mKdV equation ⋮ The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of super Korteweg-de Vries equations ⋮ A new integrable equation valued on a Cayley–Dickson algebra ⋮ The Gardner category and nonlocal conservation laws for N=1 Super KdV

Cites Work

• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• A large-\(N\) reduced model as superstring
• Supersymmetric extension of the Korteweg–de Vries equation
• A new N=2 supersymmetric Korteweg–de Vries equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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