Global existence and nonexistence results for a generalized Davey-Stewartson system
Yükleniyor...
Dosyalar
Tarih
2004-12-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IOP Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider a system of three equations, which will be called generalized Davey-Stewartson equations, involving three coupled equations, two for the long waves and one for the short wave propagating in an infinite elastic medium. We classify the system according to the signs of the parameters. Conserved quantities related to mass, momentum and energy are derived as well as a specific instance of the so-called virial theorem. Using these conservation laws and the virial theorem both global existence and nonexistence results are established under different constraints on the parameters in the elliptic-elliptic-elliptic case.
Açıklama
Anahtar Kelimeler
Schrodinger-equations, Couple-stresses, Wave-packets, Surface, Motion
Kaynak
Journal of Physics A: Mathematical and General
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
37
Sayı
48
Künye
Babaoğlu, C., Eden, A. & Erbay, S. (2004). Global existence and nonexistence results for a generalized Davey–Stewartson system. Journal of Physics A: Mathematical and General, 37(48), 11531-11546. doi:10.1088/0305-4470/37/48/002
