Bi-differential calculus and the KdV equation
نویسنده
چکیده
A gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A is an N0-graded left A-module with two covariant derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and anticommute. As a consequence, there is 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.
منابع مشابه
A notion of complete integrability in noncommutative geometry and the Korteweg-de-Vries equation
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