ON A CLASS OF PHYSICALLY IMPORTANT INTEGRABLE EQUATIONS

Authors
FOKAS AS
Citation
As. Fokas, ON A CLASS OF PHYSICALLY IMPORTANT INTEGRABLE EQUATIONS, Physica. D, 87(1-4), 1995, pp. 145-150
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
87
Issue
1-4
Year of publication
1995
Pages
145 - 150
Database
ISI
SICI code
0167-2789(1995)87:1-4<145:OACOPI>2.0.ZU;2-2
Abstract
A methodology introduced by Fuchssteiner and the author is used to der ive a class of physically important integrable evolution equations. Am ong these equations are integrable generalizations of the Korteweg-deV ries (KdV), of the modified KdV, of the nonlinear Schrodinger (NLS), a nd of the sine-Gordon equations. The modeling of water waves, as well as general asymptotic considerations, are used to illustrate the occur rence of the generalized modified KdV and NLS equations, respectively.