Differential and Integral Equations

Perturbation method for a class of nonlinear Dirac equations

H. Ounaies

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Abstract

This paper deals with a class of nonlinear Dirac equations. We relate their solutions to those of nonlinear Schrödinger equation by a perturbation parameter. It is demonstrated that the nondegenerate solution (ground state) of Schrödinger equation generates solutions for Dirac equation.

Article information

Source
Differential Integral Equations Volume 13, Number 4-6 (2000), 707-720.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061246

Mathematical Reviews number (MathSciNet)
MR1750047

Zentralblatt MATH identifier
0974.35101

Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35B20: Perturbations 81Q05: Closed and approximate solutions to the Schrödinger, Dirac, Klein- Gordon and other equations of quantum mechanics

Citation

Ounaies, H. Perturbation method for a class of nonlinear Dirac equations. Differential Integral Equations 13 (2000), no. 4-6, 707--720. https://projecteuclid.org/euclid.die/1356061246.


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