title: Soliton generation and multiple phases in dispersive shock and rarefaction wave interaction.
abstract: Interactions of dispersive shock waves (DSWs) and rarefaction waves (RWs) associated with the Korteweg-de Vries equation are shown to exhibit multiphase dynamics and isolated solitons. There are six canonical cases: one is the interaction of two DSWs that exhibit a transient two-phase solution but evolve to a single-phase DSW for large time; two tend to a DSW with either a small amplitude wave train or a finite number of solitons, which can be determined analytically; two tend to a RW with either a small wave train or a finite number of solitons; finally, one tends to a pure RW.
authors: Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309-0526, USA.
authors: M J
authors: MJ
authors: Ablowitz
authors: D E
authors: DE
authors: Baldwin
authors: M A
authors: MA
authors: Hoefer