Supersymmetric extension of the Korteweg--de Vries equation

Journal Article · Tue Nov 01 04:00:00 EST 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528090· OSTI ID:6797361

Mathieu, P

It is shown that among a one-parameter family of supersymmetric extensions of the Korteweg--de Vries equation, there is a special system that has an infinite number of conservation laws, which can be formulated in the second Hamiltonian structure, and which has a nontrivial Lax representation. Its modified version is also discussed.

• Research Organization: Departement de Physique, Universite Laval, Quebec G1K 7P4, Canada
• OSTI ID: 6797361
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:11; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
HAMILTONIANS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PROPAGATOR
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SUPERSYMMETRY
SYMMETRY