Completely integrable: Difference between revisions
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* [[Cubic NLS|One dimensional cubic NLS]] | * [[Cubic NLS|One dimensional cubic NLS]] | ||
* [[Davey-Stewartson system]] | * [[Davey-Stewartson system]] | ||
* [[Kadomtsev-Petviashvili equation]] | * [[Kadomtsev-Petviashvili equation]] (both [[KP-I equation|KP-I]] and [[KP-II equation|KP-II]]) | ||
* [[Korteweg-de Vries equation]], and more generally the [[KdV hierarchy]] | * [[Korteweg-de Vries equation]], and more generally the [[KdV hierarchy]] | ||
* [[Modified Korteweg-de Vries equation]] | * [[Modified Korteweg-de Vries equation]] | ||
Revision as of 07:37, 31 July 2006
A few nonlinear dispersive and wave equations are lucky enough to be completely integrable. This means in particular that they enjoy infinitely many conservation laws, and can often be solved by inverse scattering techniques.
