The Korteweg-de Vries equation and beyond |
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Authors: | A. S. Fokas |
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Affiliation: | (1) Department of Mathematics and Computer Science and Institute for Nonlinear Studies, Clarkson University, 13699-5815 Potsdam, NY, USA |
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Abstract: | We review a new method for linearizing the initial-boundary value problem of the KdV on the semi-infinite line for decaying initial and boundary data. We also present a novel class of physically important integrable equations. These equations, which include generalizations of the KdV, of the modified KdV, of the nonlinear Schrödinger and of theN-wave interactions, are as generic as their celebrated counterparts and, furthermore it appears that they describe certain physical situations more accurately. |
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Keywords: | 58F07 |
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