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2014 On PT Symmetry Systems: Invariance, Conservation Laws, and Reductions
P. Masemola, A. H. Kara
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/849361

Abstract

An analysis of a PT symmetric coupler with “gain in one waveguide and loss in another” is made; a transformation in the PT system and some assumptions results in a scalar cubic Schrödinger equation. We investigate the relationship between the conservation laws and Lie symmetries and investigate a Lagrangian, corresponding Noether symmetries, conserved vectors, and exact solutions via “double reductions.”

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P. Masemola. A. H. Kara. "On PT Symmetry Systems: Invariance, Conservation Laws, and Reductions." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/849361

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131920
MathSciNet: MR3251591
Digital Object Identifier: 10.1155/2014/849361

Rights: Copyright © 2014 Hindawi

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