Propagation of nonlinear waves in disordered media

Abstract

We study propagation of stationary waves in disordered non-linear media described by the non-linear Schroedinger equation and show that for given boundary conditions and a given coherent wave incident on a sample the number of solutions of the equation increase exponentially with the sample size. We also discuss the ballistic case, the sensitivity of the solutions to a change of external parameters, the similarity of this problem to the problem of spin glasses and time-dependent solutions.

References in corpus (3)

• Instability of speckle patterns in random media with noninstantaneous Kerr nonlinearity
• Langevin description of speckle dynamics in nonlinear disordered media
• Temporal fluctuations of waves in weakly nonlinear disordered media

Cited by in corpus (7)

• Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic systems
• Glassy behavior of light in random lasers
• Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
• Coherent propagation of waves in random media with weak nonlinearity
• Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates
• Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic conductors
• On-Site Potential Creates Complexity in Systems with Disordered Coupling