Yazar "0000-0002-0491-9562" için listeleme
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Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
Borluk, Handan; Erbay, Hüsnü Ata; Erbay, Saadet (Elsevier Ltd, 2010-04)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 ... -
A numerical study of the long wave-short wave interaction equations
Borluk, Handan; Muslu, Gülçin Mihriye; Erbay, Hüsnü Ata (Elsevier B.V., 2007-03-07)Two numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves ... -
Particle dynamics in the KdV approximation
Borluk, Handan; Kalisch, Henrik (Elsevier Science BV, 2012-12)The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field ... -
Stability of solitary waves for three-coupled long wave-short wave interaction equations
Borluk, Handan; Erbay, Saadet (Oxford Univ Press, 2011-08)In this paper, we consider a three-component system of 1D long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions ...