Analysis of some exact properties of the nonlinear equation of the Schrodinger describing the process of filamentation

TL;DR

This paper investigates the nonlinear Schrödinger equation related to optical filamentation, focusing on conserved quantities and beam evolution, revealing that filamentation is primarily limited by dissipative effects.

Contribution

It provides an analysis of integral of motion and beam radius evolution in a stationary nonlinear Schrödinger model, highlighting dissipation as the main limiting factor.

Findings

Filamentation is limited only by dissipative mechanisms.

Conservation properties of the nonlinear Schrödinger equation are analyzed.

Effective beam radius evolution is characterized within the model.

Abstract

The properties of the integral of motion and the evolution of the effective radius of the light beam are analyzed in the framework of the stationary model of the nonlinear Schrodinger equation describing filamentation. Within the framework of such a model, it is shown that filamentation is limited only by dissipative mechanisms.