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Peregrine Soliton and Akhmediev Breathers in a Chameleon Electrical Transmission Line

Journal of Applied Mathematics and Physics 2020年第12期8卷 2775-2792页

作者： Bedel Giscard Onana Essama Salome Ndjakomo Essiane Frederic Biya-Motto Bibiane Mireille Ndi Nnanga Mohammed Shabat jacques atangana Applied Biotechnology and Engineering Laboratory Department of Electrical Engineering Higher Technical Teachers Training College (HTTTC) of EBOLOWA University of Yaounde I Yaounde Cameroon Laboratory of Electronics Department of Physics Faculty of Science University of Yaounde I Yaounde Cameroon Laboratory of Mechanics Department of Physics Faculty of Science University of Yaounde I Yaounde Cameroon Department of Physics Islamic University of Gaza Gaza Palestine Higher 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.

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

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