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Zbl 1194.35363
Fokas, A.S.
On a class of physically important integrable equations. (English)
[J] Physica D 87, No. 1-4, 145-150 (1995). ISSN 0167-2789

Summary: A methodology introduced by Fuchssteiner and the author is used to derive a class of physically important integrable evolution equations. Among these equations are integrable generalizations of the Korteweg-deVries (KdV), of the modified KdV, of the nonlinear Schrödinger (NLS), and of the sine-Gordon equations. The modeling of water waves, as well as general asymptotic considerations, are used to illustrate the occurrence of the generalized modified KdV and NLS equations, respectively.
MSC 2000:
*35Q53 KdV-like equations
35Q55 NLS-like (nonlinear Schroedinger) equations

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