Complex singularities in KdV solutions
Ricerche di Matematica(2016)
摘要
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.
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关键词
Complex singularities,Padé approximation,Borel and power series methods,Dispersive shocks
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