Do nonlinear waves in random media follow nonlinear diffusion equations?
arXiv:1206.6085 · doi:10.1016/j.physd.2013.04.005
Abstract
Probably yes, since we find a striking similarity in the spatio-temporal evolution of nonlinear diffusion equations and wave packet spreading in generic nonlinear disordered lattices, including self-similarity and scaling.
6 pages, 4 figures
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Cited by in corpus (11)
- Nonequilibrium chaos of disordered nonlinear waves
- Nonlinear lattice waves in heterogeneous media
- Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices
- Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos
- Quantum chaotic subdiffusion in random potentials
- Nonlinear Lattice Waves in Random Potentials
- Quantum subdiffusion with two- and three-body interactions
- Spreading, Nonergodicity, and Selftrapping: a puzzle of interacting disordered lattice waves
- Kinetics of the disordered Bose gas with collisions
- Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems
- Chaotic behaviour of disordered nonlinear lattices