Y. Liu, D. Pelinovsky and A. Sakovich

Wave breaking in the short-pulse equation

Dynamics of PDE 6, 291-310 (2009)

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.

short-pulse equation, wave breaking, well-posedness, conserved quantities, method of characteristics.