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  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Global existence and nonexistence results for a generalized Davey-Stewartson system

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Date

2004-12-03

Author

Babaoğlu, Ceni
Eden, Osman Alp
Erbay, Saadet

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Citation

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

Abstract

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.

Source

Journal of Physics A: Mathematical and General

Volume

37

Issue

48

URI

https://hdl.handle.net/11729/141
http://dx.doi.org/10.1088/0305-4470/37/48/002

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]



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