# Statistical properties of extreme soliton collisions.

@article{Slunyaev2022StatisticalPO, title={Statistical properties of extreme soliton collisions.}, author={Alexey Slunyaev and Tatyana V. Tarasova}, journal={Chaos}, year={2022}, volume={32 10}, pages={ 101102 } }

Synchronous collisions between a large number of solitons are considered in the context of a statistical description. It is shown that, during the interaction of solitons of the same signs, the wave field is effectively smoothed out. When the number of solitons increases and the sequence of their amplitudes decay slower, the focused wave becomes even smoother and the statistical moments get frozen for a long time. This quasi-stationary state is characterized by greatly reduced statistical…

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