The variational formulation of the theory of non-stationary propagation of a femtosecond laser radiation

TL;DR

This paper develops a variational framework for modeling the non-stationary propagation of femtosecond laser radiation, extending conservation laws to non-conservative nonlinear media.

Contribution

It introduces an inverse variational approach for the nonlocal nonlinear Schrödinger equation, generalizing conservation laws for non-conservative systems.

Findings

Derived integral relations generalizing conservation laws

Solved inverse variational problem for nonlocal nonlinear Schrödinger equation

Applicable to modeling femtosecond laser filamentation

Abstract

In this paper, an inverse variational problem is solved for the nonlocal nonlinear Schrdinger equation used in modeling filamentation in various nonlinear media. The corresponding integral relations are found which generalize the conservation laws for the non-conservative case.