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arXiv · 0904.3160

Soliton Generation and Multiple Phases in Dispersive Shock and Rarefaction Wave Interaction

M. J. Ablowitz·D. E. Baldwin·M. A. Hoefer
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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.

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M. J. Ablowitz, D. E. Baldwin, M. A. Hoefer. 2009-04-21. Soliton Generation and Multiple Phases in Dispersive Shock and Rarefaction Wave Interaction. https://doi.org/10.1103/physreve.80.016603

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