Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial

Authors

  • A. Houwe Department of Marine engineering, Limbe Nautical Arts and Fisheries Institute, P.O. Box. 485 Limbe, Cameroon
  • Yerima Klofai Department of Physics, Higher Teachers Training College, University of Maroua, P.O. Box, 55, Maroua, Cameroon
  • Mibaile Justin Department of Physics, Higher Teachers Training College, University of Maroua, P.O. Box, 55, Maroua, Cameroon
  • Betchewe Gambo Department of Physics, Faculty of Science, University of Maroua, P.O. Box, 814, Maroua, Cameroon
  • Serge Y. Doka Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box, 454, Ngaoundre, Cameroon

DOI:

https://doi.org/10.4208/jpde.v32.n4.1

Keywords:

CRLH transmission line;nonlinear Schrödinger equation;Sine-Cosine method;solitary waves.

Abstract

In this article, we analyze solitary waves in nonlinear left-handed transmission line with nonlinear diodes (Schottkys) which is an important issue, especially for soliton devices. By applying the Kirchhoffs laws and reductive direct method, the voltage in the spectral domain was obtained. Considering the Taylor series around a certain modulation frequency, we obtained one dimensional Nonlinear Schrödinger Equation (NSE), which support envelops soliton, and bright soliton solutions. Using sine-cosine mathematical method, soliton solutions of the standard Nonlinear Schrödinger equation are obtained. The method used is straightforward and concise and can be applied to solve further of nonlinear PDEs in mathematical physics.

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Published

2020-05-12

Issue

Vol. 32 No. 4 (2019)

Section

Articles