Do nonlinear waves in random media follow nonlinear diffusion equations?
T. V. Laptyeva, J. D. Bodyfelt, and S. Flach
TL;DR
This paper investigates whether nonlinear waves in random media behave like nonlinear diffusion equations, finding strong similarities in their evolution, self-similarity, and scaling properties.
Contribution
It provides evidence that nonlinear wave spreading in disordered media can be described by nonlinear diffusion equations, highlighting a potential universal behavior.
Findings
Similar spatio-temporal evolution patterns observed
Self-similarity and scaling properties identified
Supports the nonlinear diffusion model for wave spreading
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.