2009/04/21 by M. J. Ablowitz, D. E. Baldwin, M. A. Hoefer · 2 citations
Physics and Astronomy · #nlin.PS #nlin.SI
paper · pdf · doi:10.1103/physreve.80.016603
published as Physical Review E, vol. 80, pp. 016603 (2009) · 4 pages, 6 figures
arxiv created 2009/04/21 · arxiv updated 2013/01/08
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.