Continuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation

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dc.creatorLundmark, Hans
dc.creatorSzmigielski, Jacek
dc.date2008-05-09
dc.date.accessioned2026-07-07T12:53:00Z
dc.date.available2026-07-07T12:53:00Z
dc.descriptionWe study a class of piecewise linear solutions to the inviscid Burgers equation driven by a linear forcing term. Inspired by the analogy with peakons, we think of these solutions as being made up of solitons situated at the breakpoints. We derive and solve ODEs governing the soliton dynamics, first for continuous solutions, and then for more general shock wave solutions with discontinuities. We show that triple collisions of solitons cannot take place for continuous solutions, but give an example of a triple collision in the presence of a shock.
dc.descriptionTo appear in Journal of Nonlinear Mathematical Physics (proceedings of NEEDS 2007). 16 pages, 3 figures, LaTeX + AMS packages + pstricks
dc.identifierhttps://arxiv.org/abs/0805.1258
dc.identifierhttp://arxiv.org/abs/0805.1258
dc.identifierJournal of Nonlinear Mathematical Physics, Volume 15, Supplement 3 (October 2008): 264-276
dc.identifierdoi:10.2991/jnmp.2008.15.s3.26
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223477
dc.subjectExactly Solvable and Integrable Systems
dc.titleContinuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation
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