descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2016 English Publisher:Springer Science and Business Media LLCJournal:Ricerche di Matematica, volume 65, pages 479-490 (issn: 0035-5038, eissn: 1827-3491,

Authors: GARGANO, Francesco; Ponetti, G.; SAMMARTINO, Marco Maria Luigi; SCIACCA, Vincenzo;

doi: 10.1007/s11587-016-0269-9

handle: 10447/198380

Complex singularities in KdV solutions

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Abstract

In the small dispersion regime, the KdV solution exhibits rapid oscillations in its spatio-temporal dependence. We show that these oscillations are caused by the presence of complex singularities that approach the real axis. We give a numerical estimate of the asymptotic dynamics of the poles.

Related Organizations

University of Palermo
Italy

Keywords

Complex singularities, Padé approximation, Borel and power series methods, Dispersive shocks

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