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arXiv · 1401.1390

A numerical approach to Blow-up issues for dispersive perturbations of Burgers' equation

C. Klein·J. -C. Saut
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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 solitons for fractionary Korteweg-de Vries equations.

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C. Klein, J. -C. Saut. 2014-01-19. A numerical approach to Blow-up issues for dispersive perturbations of Burgers' equation. https://doi.org/10.1016/j.physd.2014.12.004

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