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

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We 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.
To appear in Journal of Nonlinear Mathematical Physics (proceedings of NEEDS 2007). 16 pages, 3 figures, LaTeX + AMS packages + pstricks

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/223477

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1258
 http://arxiv.org/abs/0805.1258
 Journal of Nonlinear Mathematical Physics, Volume 15, Supplement 3 (October 2008): 264-276
 doi:10.2991/jnmp.2008.15.s3.26

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arXiv