1Department of Marine engineering, Limbe Nautical Arts and Fisheries Institute, P.O. Box. 485 Limbe, Cameroon
2Department of Physics, Faculty of Science, University of Maroua, P.O. Box, 814, Maroua, Cameroon
3Department of Physics, Higher Teachers’ Training College, University of Maroua, P.O. Box, 55, Maroua, Cameroon
4Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box, 454, Ngaoundère, Cameroon
Applied Mathematics and Physics.
2017,
Vol. 5 No. 3, 77-84
DOI: 10.12691/amp-5-3-1
Copyright © 2017 Science and Education PublishingCite this paper: Alphonse HOUWE, YERIMA KLOFAI, Boudoue Hubert Malwe, Serge Y. Doka. Exact Travelling Envelope Solitons and Kink-soliton Solutions for the Josephson Nonlinear Left-handed Transmission Line.
Applied Mathematics and Physics. 2017; 5(3):77-84. doi: 10.12691/amp-5-3-1.
Correspondence to: Alphonse HOUWE, Department of Marine engineering, Limbe Nautical Arts and Fisheries Institute, P.O. Box. 485 Limbe, Cameroon. Email:
ahouw220@yahoo.frAbstract
Exact traveling soliton solutions for the Josephson nonlinear Left-handed transmission line (NL-JLHTL) based on the periodic structure of an array of Josephson junctions (JJs) are investigated. The nonlinearity of the Josephson left-handed transmission line (JLHTL) is due to the highly nonlinear nature of the JJs that provide the shunt inductances required to realize an LHTL. Applying the generalized Ricati methods, we analytically and successfully derive exact traveling kink solitons, bright and dark solitary wave solutions on this network. The left-handedness of the line is explicitly confirmed in numerical simulations with the existence of bright and dark soliton solutions in good agreement with analytical predictions.
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