Standing waves for a generalized Davey-Stewartson system

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Tarih

2006-10-27

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Yayıncı

IOP Publishing

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Organizasyon Birimleri

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Özet

In this paper, we establish the existence of non-trivial solutions for a semi-linear elliptic partial differential equation with a non-local term. This result allows us to prove the existence of standing wave ( ground state) solutions for a generalized Davey-Stewartson system. A sharp upper bound is also obtained on the size of the initial values for which solutions exist globally.

Açıklama

Anahtar Kelimeler

Scalar field-equations, Concentration-compactness principle, Schrödinger-equations, Existence, Nonexistence, Calculus, Nonlinear Schrödinger equation, Semilinear wave

Kaynak

Journal of Physics A: Mathematical and General

WoS Q Değeri

Q2

Scopus Q Değeri

N/A

Cilt

39

Sayı

43

Künye

Eden, A. & Erbay, S. (2006). Standing waves for a generalized Davey–Stewartson system. Journal of Physics A: Mathematical and General, 39(43), 13435-13444. doi:10.1088/0305-4470/39/43/003