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

摘要: We investigate the properties of time reversibility a soliton gas, originating from dispersive regularization shock wave, as it propagates in strongly disordered environment. An original approach combining information measures and spin glass theory shows that time-reversal focusing occurs for different replicas disorder forward backward propagation, provided varies on length scale much shorter than width constituents. The analysis is performed by starting new class reflectionless potentials, which describe most general form an expanding gas defocusing nonlinear Schr\"odinger equation.