Time-reversal focusing of an expanding soliton gas in disordered replicas

Andrea Fratalocchi, A. Armaroli, S. Trillo

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We investigate the properties of time reversibility of a soliton gas, originating from a dispersive regularization of a shock wave, as it propagates in a strongly disordered environment. An original approach combining information measures and spin glass theory shows that time-reversal focusing occurs for different replicas of the disorder in forward and backward propagation, provided the disorder varies on a length scale much shorter than the width of the soliton constituents. The analysis is performed by starting from a new class of reflectionless potentials, which describe the most general form of an expanding soliton gas of the defocusing nonlinear Schrödinger equation.
Original languageEnglish (US)
JournalPhysical Review A
Issue number5
StatePublished - May 31 2011

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KAUST Repository Item: Exported on 2020-10-01


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