Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials
Abstract
In this work we investigate a one-dimensional parity-time (PT)-symmetric magnetic metamaterial consisting of split-ring dimers having gain or loss. Employing a Melnikov analysis we study the existence of localized travelling waves, i.e. homoclinic or heteroclinic solutions. We find conditions under which the homoclinic or heteroclinic orbits persist. Our analytical results are found to be in good agreement with direct numerical computations. For the particular nonlinearity admitting travelling kinks, numerically we observe homoclinic snaking in the bifurcation diagram. The Melnikov analysis yields a good approximation to one of the boundaries of the snaking profile.
Keywords
Cite
@article{arxiv.1711.09000,
title = {Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials},
author = {M. Agaoglou and M. Feckan and M. Pospisil and V. M. Rothos and H. Susanto},
journal= {arXiv preprint arXiv:1711.09000},
year = {2017}
}
Comments
15 pages, 4 figures, Wave Motion 76 (2018) 9-18. arXiv admin note: text overlap with arXiv:1304.0556 by other authors