Article ID Journal Published Year Pages File Type
8256390 Physica D: Nonlinear Phenomena 2015 20 Pages PDF
Abstract
We provide a detailed numerical study of various issues pertaining to the dynamics of the Burgers' equation perturbed by a weak dispersive term: blow-up in finite time versus global existence, nature of the blow-up, existence for “long” times, and the decomposition of the initial data into solitary waves plus radiation. We numerically construct solitary waves for fractional Korteweg-de Vries equations.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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