On PT Symmetry Systems: Invariance, Conservation Laws, and Reductions

P. Masemola and A. H. Kara

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

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.”

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:849361

DOI: 10.1155/2014/849361

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