Dynamics of Partial Differential Equations
Volume 6 (2009)
Wave breaking in the short-pulse equation
Pages: 291 – 310
Sufficient conditions for wave breaking are found for the shortpulse 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.
wave breaking, ultra-short pulse, short-pulse equation
2010 Mathematics Subject Classification