On the bi-Hamiltonian structures of the sKdV

DOI10.1063/1.529594zbMath0764.35087OpenAlexW2039532529MaRDI QIDQ4032265

J. Barcelos-Neto, Ashok Das

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529594

zbMATH Keywords

supersymmetric KdV equationLax operator

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)

Related Items

The Hamiltonian structures of the super-KP hierarchy associated with an even parity super-Lax operator

Cites Work

• A short proof of a Kupershmidt-Wilson theorem
• Lie algebras and equations of Korteweg-de Vries type
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Modifying Lax equations and the second Hamiltonian structure
• A Lie algebra structure in a formal variational calculation
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• The zero curvature formulation of the sKdV equations
• Supersymmetric extension of the Korteweg–de Vries equation