The Korteweg-de Vries equation and beyond

Name: The Korteweg-de Vries equation and beyond
Creator: Fokas, A. S.
Keywords: KdV equation, integrable equations, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, KdV equations (Korteweg-de Vries equations), 4. Education, 0103 physical sciences, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), 0101 mathematics, initial-boundary value problem, 01 natural sciences

Fokas, A. S.

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Acta Applicandae Mat...arrow_drop_down

Acta Applicandae Mathematicae

Article . 1995 . Peer-reviewed

License: Springer TDM

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zbMATH Open

Article . 1995

Data sources: zbMATH Open

https://doi.org/10.1007/978-94...

Part of book or chapter of book . 1995 . Peer-reviewed

Data sources: Crossref

https://dx.doi.org/10.1007/978...

Article

Data sources: Microsoft Academic Graph

The Korteweg-de Vries equation and beyond

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Jan 1995 English Publisher:Springer Science and Business Media LLCJournal:Acta Applicandae Mathematicae, volume 39, pages 295-305 (issn: 0167-8019, eissn: 1572-9036,

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Authors: Fokas, A. S.;

doi: 10.1007/bf00994638 , 10.1007/978-94-011-0017-5_15

The Korteweg-de Vries equation and beyond

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Abstract

The author reviews a new method for linearizing the initial-boundary value problem of the Korteweg-de Vries (KdV) equation on the semi-infinite line for decaying initial and boundary data. The author also presents 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 the \(N\)-wave interactions, are as generic as their celebrated counterparts and it appears that they describe certain physical situations more accurately.

Related Organizations

Clarke University
United States

Keywords

KdV equation, integrable equations, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, KdV equations (Korteweg-de Vries equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), initial-boundary value problem, semi-infinite line

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