Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
Yükleniyor...
Dosyalar
Tarih
2010-04
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we establish the non-existence and existence results for the localized solitary waves of the two-dimensional long-wave-short-wave interaction equations. Both the non-existence and existence results are based on Pohozaev-type identities. We prove the existence of solitary waves by showing that the solitary waves are the minimizers of an associated variational problem.
Açıklama
Anahtar Kelimeler
Long-wave-short-wave interaction equations, Non-existence of solitary waves, Existence of solitary waves, Davey-stewartson system, Standing waves, Resonance
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
23
Sayı
4
Künye
Borluk, H., Erbay, H. A. & Erbay, S. (2010). Non-existence and existence of localized solitary waves for the two-dimensional long-wave–short-wave interaction equations. Applied Mathematics Letters, 23(4), 356-360. doi:10.1016/j.aml.2009.10.010
