Ceni Babaoglu et al 2004 J. Phys. A: Math. Gen. 37 11531 doi:10.1088/0305-4470/37/48/002
Global existence and nonexistence results for a generalized Davey–Stewartson system
Ceni Babaoglu1, Alp Eden2 and Saadet Erbay3
Show affiliationsWe 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.
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Issue 48 (3 December 2004)
Received 6 May 2004, in final form 14 September 2004
Published 17 November 2004
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Global existence and nonexistence results for a generalized Davey–Stewartson system
Ceni Babaoglu et al 2004 J. Phys. A: Math. Gen. 37 11531
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