SOLITARY WAVES OF GENERALIZED KADOMTSEV-PETVIASHVILI EQUATIONS

Authors
DEBOUARD A SAUT JC
Citation
A. Debouard et Jc. Saut, SOLITARY WAVES OF GENERALIZED KADOMTSEV-PETVIASHVILI EQUATIONS, Annales de l Institut Henri Poincare. Analyse non lineaire, 14(2), 1997, pp. 211-236
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
14
Issue
2
Year of publication
1997
Pages
211 - 236
Database
ISI
SICI code
0294-1449(1997)14:2<211:SWOGKE>2.0.ZU;2-C
Abstract
We classify the existence and non-existence eases for localized solita ry waves of generalized Kadomtsev-Petviashvili equations according to the sign of the transverse dispersion coefficients and to the nonlinea rity. We also prove regularity properties of the solitary waves.