REMARKS ON THE GENERALIZED KADOMTSEV-PETVIASHVILI EQUATIONS AND 2-DIMENSIONAL BENJAMIN-ONO EQUATIONS

Authors
GUO BL HAN YQ
Citation
Bl. Guo et Yq. Han, REMARKS ON THE GENERALIZED KADOMTSEV-PETVIASHVILI EQUATIONS AND 2-DIMENSIONAL BENJAMIN-ONO EQUATIONS, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 452(1950), 1996, pp. 1585-1595
Citations number
15
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Proceedings - Royal Society. Mathematical, physical and engineering sciences → ACNP
ISSN journal
13645021
Volume
452
Issue
1950
Year of publication
1996
Pages
1585 - 1595
Database
ISI
SICI code
1364-5021(1996)452:1950<1585:ROTGKE>2.0.ZU;2-N
Abstract
In this paper, we investigate the well-posedness (existence and unique ness) of the local solutions for the Cauchy problem of generalized Kad omtsev-Petviashvili equations and Benjamin-One equations: (u(t) + alph a u(xxx) + beta Hu(xx) + u(p)u(x))(x) + epsilon u(yy) = 0. If p greate r than or equal to 4, then the solution blows up in finite time for su itable initial data.