Onana Essama, B.G., Atangana, J., Mokhtari, B., Cherkaoui Eddeqaqi, N. and Kofane, T.C. (2013) Theoretical Model for Electromagnetic Wave Propagation in Negative Index Material Induced by Cubic-Quintic Nonlinearities and Third-Order Dispersion Effects. Optical and Quantum Electronics, 46, 911-924.
https://doi.org/10.1007/s11082-013-9804-z

has been cited by the following article:

• TITLE: Peregrine Soliton and Akhmediev Breathers in a Chameleon Electrical Transmission Line

  AUTHORS: Bedel Giscard Onana Essama, Salome Ndjakomo Essiane, Frederic Biya-Motto, Bibiane Mireille Ndi Nnanga, Mohammed Shabat, Jacques Atangana

  KEYWORDS: Freak Waves Generation, Transmission Line, Metamaterials, Right/Left-Handed Behaviors, Tree Structures, Collective Coordinates

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 7, 2020

  ABSTRACT: We analyze the particular behavior exhibited by a chaotic waves field containing Peregrine soliton and Akhmediev breathers. This behavior can be assimilated to a tree with “roots of propagation” which propagate randomly. Besides, this strange phenomenon can be called “tree structures”. So, we present the collapse of dark and bright solitons in order to build up the above mentioned chaotic waves field. The investigation is done in a particular nonlinear transmission line called chameleon nonlinear transmission line. Thus, we show that this line acts as a bandpass filter at low frequencies and the impact of distance, frequency and dimensionless capacitor are also presented. In addition, the chameleon’s behavior is due to the fact that without modifying the appearance structure, it can present alternatively purely right- or left-handed transmission line. This line is different to the composite one.