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Wave breaking in the short-pulse equation
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.Comment: 21 pages, 5 figure