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

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.053846· OSTI ID:21546895

Fratalocchi, A ^[1]; Armaroli, A; Trillo, S ^[2]

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1. PRIMALIGHT, Faculty of Electrical Engineering, Applied Mathematics and Computational Science, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900 (Saudi Arabia)
2. Dipartimento di Ingegneria, Universita di Ferrara, Via Saragat 1, I-44122 Ferrara (Italy)

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 Schroedinger equation.

• OSTI ID: 21546895
• Journal Information: Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.053846; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
FOCUSING
NONLINEAR PROBLEMS
POTENTIALS
REPLICAS
SCHROEDINGER EQUATION
SHOCK WAVES
SOLITONS
SPIN GLASS STATE
TIME DEPENDENCE
WAVE PROPAGATION
WIDTH
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
WAVE EQUATIONS