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New soliton solutions for a discrete electrical lattice using the Jacobi elliptical function method |
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| Authors: | E. Tala-Tebue Z.I. Djoufack S.B. Yamgoué A. Kenfack-Jiotsa T.C. Kofané |
| Affiliation: | 1. Department of Telecommunication and Network Engineering, IUT-Fotso Victor of Bandjoun, The University of Dschang, P. O. Box 134, Bandjoun Cameroon;2. Department of Physics, The University of Bamenda, The Higher Teachers’ Training College, P.O. Box 39, Bamenda, Cameroon;3. Nonlinear Physics and Complex Systems Group, Department of Physics, The University of Yaoundé I, The Higher Teachers’ Training College, P.O. Box 47, Yaoundé, Cameroon;4. Laboratory of Mechanics, Department of Physics, Faculty of Sciences, The University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon |
| Abstract: | This paper presents many new solutions of a modified Zakharov–Kuznetsov equation obtained by using the Jacobi elliptical function method. This equation is shown to model a two dimensional discrete electrical lattice. The solutions reported herein are of varied types and include hyperbolic and trigonometric solutions, as well as kink and bell-shaped solitons. The comparison of our results to well-known ones is done. The method used here is very simple and concise and can be also applied to other nonlinear partial differential equations. More importantly, the solutions found in this work can have significant applications in telecommunication systems where solitons are used to codify data. |
| Keywords: | Modified Zakharov–Kuznetsov equation A two dimensional discrete electrical lattice Jacobi elliptical function method Telecommunication systems, |
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