57 citations · 232 across the 20 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math.AP2009★ 3 cited
Wave breaking in the short-pulse equation
Yue Liu, Dmitry Pelinovsky, Anton Sakovich
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 meth…
math.AP2009★ 45 cited
Wave breaking in the Ostrovsky--Hunter equation
Yue Liu, Dmitry Pelinovsky, Anton Sakovich
The Ostrovsky--Hunter equation governs evolution of shallow water waves on a rotating fluid in the limit of small high-frequency dispersion. Sufficient conditions for the wave brea…