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.
|State||Published - 1 Aug 2019|
- Nonlinear Sciences - Pattern Formation and Solitons
- Nonlinear Sciences - Exactly Solvable and Integrable Systems