Phys. Rev. E 80, 016603 (2009) [5 pages]Soliton generation and multiple phases in dispersive shock and rarefaction wave interactionReceived 26 February 2009; revised 27 April 2009; published 16 July 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.016603
DOI:
10.1103/PhysRevE.80.016603
PACS:
05.45.Yv, 47.40.Nm, 52.35.Mw
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