Volume 32, Issue 4
Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial

A. Houwe ,  Yerima Klofai ,  Mibaile Justin ,  Betchewe Gambo and Serge Y. Doka


J. Part. Diff. Eq., 32 (2019), pp. 293-303.

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  • 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.

  • History

Published online: 2020-01

  • AMS Subject Headings

060.2310, 35G20, 34G20

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