Staggered dispersions: Part I. Shocliton, quantum revival and fractalization
Mathematical Physics
2026-02-09 v7 math.MP
Pattern Formation and Solitons
Abstract
Alternating the signs of the frequencies for Fourier components with even and odd (normalized) wavenumbers in the nonlinear-wave, such as the Korteweg-de Vries, equations maintains a constantly drifting dispersive shock with similar solitonic oscillations on both sides, like some plasma and quantum shocks. Such \textit{staggered dispersions} support bi-directional waves and can symmetrize and deregularize (to some degree) the nonlinear dynamics, with physical consequences that can also be reflected in the fractalization and quantum revival (Talbot effect).
Keywords
Cite
@article{arxiv.2302.12025,
title = {Staggered dispersions: Part I. Shocliton, quantum revival and fractalization},
author = {Jian-Zhou Zhu},
journal= {arXiv preprint arXiv:2302.12025},
year = {2026}
}