Authors

Citation

A. Dimakis et F. Muller-hoissen, Bi-differential calculus and the KDV equation, REP MATH PH, 46(1-2), 2000, pp. 203-210

Citations number

8

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Physics

Journal title

REPORTS ON MATHEMATICAL PHYSICS

ISSN journal

0034-4877
→ ACNP

Volume

46

Issue

1-2

Year of publication

2000

Pages

203 - 210

Database

ISI

SICI code

0034-4877(200008/10)46:1-2<203:BCATKE>2.0.ZU;2-E

Abstract

A gauged bi-differential calculus over an associative (and not necessarily
commutative) algebra A is an N-0-graded left A-module with two covariant de
rivatives acting on it which, as a consequence of certain (e.g. nonlinear d
ifferential) equations, are flat and anticommute. As a consequence, there i
s an iterative construction of generalized conserved currents. We associate
a gauged bi-differential calculus with the Korteweg-de Vries equation and
use it to compute conserved densities of this equation.