Abstract
We introduce a practical algorithm to automate the simulations of solitary wave solutions of some nonlinear dispersive wave equations. The full discretization consists of a spatial discretization with a local basis and an invariant preserving time integrator. The algorithm includes a dynamic cleaning of dispersive tails and an automatic detection of the complete separation of the main pulses.
Acknowledgements
This research has been supported by MCINN project MTM2011-23417 cofinanced by FEDER funds. The authors are very grateful to Prof. Ángel Durán for several valuable suggestions.