Influence of small dispersion on self-focusing in spatially one-dimensional case

2017/06/21 by B. I. Suleimanov
Physics and Astronomy · Mathematics · #math-ph #math.CA #math.MP #nlin.SI

paper · pdf · doi:10.1134/s0021364017180126

in Russian

arxiv created 2017/06/21 · arxiv updated 2018/01/17

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 Schrödinger equation, which is isomonodromic. Analytic and asymptotic properties of this solution are described.

Cited by

• On the quasi-continuum approximation of some localized patterns in the FPUT lattice