An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday! (Q1896392)
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scientific article; zbMATH DE number 790794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday! |
scientific article; zbMATH DE number 790794 |
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An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday! (English)
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8 October 1996
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This talk, given at a commemoration of the 100th birthday of the Korteweg-de Vries equation, contains brief historical remarks describing the context of the discovery of the inverse scattering method by the author and his collaborators. The author stresses in particular the importance of the process of asymptotic reduction of an equation to a simpler model (as in the reductive perturbation method) which indeed explains the occurrence of the KdV equation in a large number of unrelated applications.
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Korteweg-de Vries equation
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solitons
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inverse scattering method
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asymptotic reduction
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