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.”
Citation
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