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

2019/08/04 by Zarmi, Yair
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.1908.01315

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.

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