Soliton Generation and Multiple Phases in Dispersive Shock and Rarefaction Wave Interaction
arXiv:0904.3160 · doi:10.1103/PhysRevE.80.016603
Abstract
Interactions of dispersive shock (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 which 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.
4 pages, 6 figures
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Cited by in corpus (14)
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