Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion
type: Item
instance of: scholarly article
title: Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion
zbMATH Open document ID: 1420.35277
DOI: 10.1134/S0012266118100105
author: A. D. Bulygin
author: A. A. Zemlyanov
published in: Differential Equations
publication date: 2019-03-27T00:00:00Z
review text: The authors consider a system of equations which model the propagation of super short laser radiation in a nonlinear medium. This system includes a nonlinear and nonlocal Schrödinger equation with cubic nonlinearity. The system under consideration is not Lagrangian. A variational formulation of the problem is posed, and an inverse variational problem is solved by using integrating factors. Generalized conservation laws are also obtained.
reviewed by: Eric Stachura
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7043436
zbMATH Keywords: nonlinear Schrodinger equation
zbMATH Keywords: conservation law
zbMATH Keywords: variational formulation
zbMATH Keywords: cubic nonlinearity
Wikidata QID: Q115250647
MaRDI profile type: Publication
cites work: Q5491534
cites work: Q4100859
cites work: Q4642143
cites work: Deformation quantization of linear dissipative systems
cites work: Q3992476
cites work: Analysis of some properties of the nonlinear Schrödinger equation used for filamentation modeling
full work available at URL: s0012266118100105
OpenAlex ID: W2901008505
description: scientific article; zbMATH DE number 7043436