We study a modified Burgers equation numerically as one of the simplest model equations which can exhibit spatio-temporal chaos. An unstable linear term is added to the Burgers equation as a perturbation term. The creation and annihilation of shock structures are found numerically. It is shown by a Lyapunov analysis that the shock structures play an important role in the chaotic dynamics.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics