On the integrability of the super-KdV equation

DOI10.1007/BF02102371zbMath0753.35086MaRDI QIDQ1200507

Ian N. McArthur

Publication date: 16 January 1993

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

zbMATH Keywords

conserved quantitiessupersymmetric analogues of the Gelfand-Dikii polynomials

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Supersymmetry and quantum mechanics (81Q60)

Related Items

Dirac reductions and classical W-algebras ⋮ Supersymmetric bi-Hamiltonian systems ⋮ Structures of (supersymmetric) classical W-algebras ⋮ Travelling wave solutions of reduced super-KdV equation: A perspective from Lamé equation ⋮ Gelfand-Dikii analysis for \(N=2\) supersymmetric KdV equations ⋮ Two-reduction of the super-KP hierarchy

Cites Work

• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• Fractional powers of operators and Hamiltonian systems
• Supersymmetric extension of the Korteweg–de Vries equation
• INTEGRABILITY AND BIHAMILTONIAN STRUCTURE OF THE EVEN ORDER SKDV HIERARCHIES
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS