Author(s)

Bedel Giscard Onana Essama^1,2*, Salome Ndjakomo Essiane¹, Frederic Biya-Motto², Bibiane Mireille Ndi Nnanga³, Mohammed Shabat⁴, Jacques Atangana⁵

¹Applied Biotechnology and Engineering Laboratory, Department of Electrical Engineering, Higher Technical Teachers, Training College (HTTTC) of EBOLOWA, University of Yaounde I, Yaounde, Cameroon.
²Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon.
³Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon.
⁴Department of Physics, Islamic University of Gaza, Gaza, Palestine.
⁵Higher Teacher Training College of Yaounde, University of Yaounde I, Yaounde, Cameroon.

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.

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

Essama, B. , Essiane, S. , Biya-Motto, F. , Nnanga, B. , Shabat, M. and Atangana, J. (2020) Peregrine Soliton and Akhmediev Breathers in a Chameleon Electrical Transmission Line. Journal of Applied Mathematics and Physics, 8, 2775-2792. doi: 10.4236/jamp.2020.812205.