Wave breaking in the short-pulse equation

Details Wave breaking in the short-pulse equation Wave breaking in the short-pulse equation

2009-05-28

arxiv.org/abs/0905.4668v1

Dynam. Part. Differ. Eq. 6 (2009) 291-310

Mathematics

Analysis of PDEs

21 pages, 5 figures

Scientific paper

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.

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