Soliton Generation and Multiple Phases in Dispersive Shock and Rarefaction Wave Interaction
Pattern Formation and Solitons
2013-01-08 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.0904.3160,
title = {Soliton Generation and Multiple Phases in Dispersive Shock and Rarefaction Wave Interaction},
author = {M. J. Ablowitz and D. E. Baldwin and M. A. Hoefer},
journal= {arXiv preprint arXiv:0904.3160},
year = {2013}
}
Comments
4 pages, 6 figures