Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-05-09
Journal of Nonlinear Mathematical Physics, Volume 15, Supplement 3 (October 2008): 264-276
Nonlinear Sciences
Exactly Solvable and Integrable Systems
To appear in Journal of Nonlinear Mathematical Physics (proceedings of NEEDS 2007). 16 pages, 3 figures, LaTeX + AMS packages
Scientific paper
10.2991/jnmp.2008.15.s3.26
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.
Lundmark Hans
Szmigielski Jacek
No associations
LandOfFree
Continuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Continuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Continuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-331996