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Wave breaking in the short-pulse equation
Preprint

Wave breaking in the short-pulse equation

Abstract

Sufficient conditions for wave breaking are found for the short-pulse equation describing wave packets of few cycles on the ultra-short pulse scale. The analysis relies on the method of characteristics and conserved quantities of the short-pulse equation and holds both on an infinite line and in a periodic domain. Numerical illustrations of the finite-time wave breaking are given in a periodic domain.

Authors

Liu Y; Pelinovsky D; Sakovich A

Publication date

May 28, 2009

DOI

10.48550/arxiv.0905.4668

Preprint server

arXiv

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