@article{27f6e3dfb74b4a5393fadfac1b8e9d9c,
title = "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 = "Homoclinic snaking, Melnikov theory, Nonlinear metamaterials, PT-Symmetry",
author = "M. Agaoglou and M. Fe{\v c}kan and M. Posp{\'i}{\v s}il and Rothos, {V. M.} and H. Susanto",
note = "Funding Information: The work of M.A has been co-financed from resources of the operational program “Education and Lifelong Learning” of the European Social Fund and the National Strategic Reference Framework (NSRF) 2007–2013 ( 2013-E2-SHORT TERMS-19736 ) within the framework of the Action State Scholarships Foundation{\textquoteright}s (IKY) mobility grants programme for the short term training in recognized scientific/research centres abroad for candidate doctoral or postdoctoral researchers in Greek universities or research centres. M.F. and M.P. were partially supported by the Slovak Grant Agency VEGA No. 2/0153/16 and No. 1/0078/17 and the Slovak Research and Development Agency under the contract No. APVV-14–0378 . VR has been co-financed by the European Union (European Social Fund ESF) and Greek national funds through the Operational Program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF) Research Funding Program D.534 MIS:379337: THALES. V.R and M.A acknowledge support from FP7, Marie Curie Actions, People, International Research Staff Exchange Scheme (IRSES-606096). The authors acknowledge the referee for their useful comment and feedback. Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2018",
month = jan,
doi = "10.1016/j.wavemoti.2017.10.003",
language = "British English",
volume = "76",
pages = "9--18",
journal = "Wave Motion",
issn = "0165-2125",
publisher = "Elsevier B.V.",
}