Influence of small dispersion on self-focusing in spatially one-dimensional case
Mathematical Physics
2018-01-17 v1 Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
The effect of the small dispersion on the self-focusing of solutions of the equations of nonlinear geometric optics in one-dimensional case is investigated. In the main order this influence is described by means of the universal special solution of the nonlinear Schr\"odinger equation, which is isomonodromic. Analytic and asymptotic properties of this solution are described.
Keywords
Cite
@article{arxiv.1706.06849,
title = {Influence of small dispersion on self-focusing in spatially one-dimensional case},
author = {B. I. Suleimanov},
journal= {arXiv preprint arXiv:1706.06849},
year = {2018}
}
Comments
in Russian