Proceedings of the International Conference on Geometry, Integrability and Quantization

Construction of Group-Invariant Solutions of Partial Differential Equations

Vladimir Pulov

Abstract

The Lie group method for construction of group-invariant solutions of partial differential equations is presented. The method is applied to a system of two coupled nonlinear Schrödinger equations. The so called reduced system of equations for translationally invariant solutions is obtained. Group-invariant solutions for the degenerate case of two decoupled Schrödinger equations are found.

Article information

Source
Proceedings of the Thirteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2012), 258-264

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815530

Digital Object Identifier
doi:10.7546/giq-13-2012-258-264

Mathematical Reviews number (MathSciNet)
MR3087976

Zentralblatt MATH identifier
1382.35013

Citation

Pulov, Vladimir. Construction of Group-Invariant Solutions of Partial Differential Equations. Proceedings of the Thirteenth International Conference on Geometry, Integrability and Quantization, 258--264, Avangard Prima, Sofia, Bulgaria, 2012. doi:10.7546/giq-13-2012-258-264. https://projecteuclid.org/euclid.pgiq/1436815530


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