Search results for "Asymptotic dynamics"

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Complex singularities in KdV solutions

2016

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.

Complex singularities Padé approximation Borel and power series methods Dispersive shocksApplied MathematicsGeneral MathematicsNumerical analysis010102 general mathematicsMathematical analysis01 natural sciences010305 fluids & plasmasAsymptotic dynamics0103 physical sciencesPadé approximantGravitational singularity0101 mathematicsAlgebra over a fieldKorteweg–de Vries equationDispersion (water waves)Complex planeMathematics
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