Note on the single-shock solutions of the Korteweg-de Vries-Burgers equation

Ioannis Kourakis, Sharmin Sultana, Frank Verheest

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

The well-known shock solutions of the Korteweg-de Vries-Burgers equation are revisited, together with their limitations in the context of plasma (astro)physical applications. Although available in the literature for a long time, it seems to have been forgotten in recent papers that such shocks are monotonic and unique, for a given plasma configuration, and cannot show oscillatory or bell-shaped features. This uniqueness is contrasted to solitary wave solutions of the two parent equations (Korteweg-de Vries and Burgers), which form a family of curves parameterized by the excess velocity over the linear phase speed.

Original languageBritish English
Pages (from-to)245-249
Number of pages5
JournalAstrophysics and Space Science
Volume338
Issue number2
DOIs
StatePublished - Apr 2012

Keywords

  • Plasmas
  • Shock waves

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