Generation of shock waves from localized sources: The case of the Burgers equation

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Abstract

It is shown that the shock wave solutions of the Burgers equation can be generated from localized sources. The evolution equation obeyed by the sources has a novel characteristic: It has a single-soliton solution as well as an infinite family of localized-hump solutions.
Original languageEnglish
DOIs
StatePublished - 1 Aug 2019

Keywords

  • Nonlinear Sciences - Pattern Formation and Solitons
  • Nonlinear Sciences - Exactly Solvable and Integrable Systems

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