Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
- 1 September 1988
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (9) , 1964-1968
- https://doi.org/10.1063/1.527850
Abstract
The solitary‐wave interaction mechanism for the good Boussinesq equation is investigated and found to be far more complicated than was previously thought. Three salient features are that solitary waves only exist for a finite range of velocities, that large solitons can turn into so‐called antisolitons, and that it is possible for solitons to merge and split. Small solitons, however, appear to be stable. The existence of a potential well is linked to the different behaviors observed between small and large initial conditions.Keywords
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