SYMMETRIES AND DECAY OF THE GENERALIZED KADOMTSEV-PETVIASHVILI SOLITARY WAVES

Authors
DEBOUARD A SAUT JC
Citation
A. Debouard et Jc. Saut, SYMMETRIES AND DECAY OF THE GENERALIZED KADOMTSEV-PETVIASHVILI SOLITARY WAVES, SIAM journal on mathematical analysis, 28(5), 1997, pp. 1064-1085
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
5
Year of publication
1997
Pages
1064 - 1085
Database
ISI
SICI code
0036-1410(1997)28:5<1064:SADOTG>2.0.ZU;2-Z
Abstract
We prove that the solitary waves of the generalized Kadomtsev-Petviash vili equations, when they exist, are cylindrical with respect to the t ransverse variables and decay with an optimal algebraic rate.