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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 & Serge Y. Doka

DOI: 10.4208/jpde.v32.n4.1

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

Published online: 2020-01

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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.

  • Keywords

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

  • AMS Subject Headings

060.2310, 35G20, 34G20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ahouw220@yahoo.fr (A. Houwe)

yerimaklofai@yahoo.fr (Yerima Klofai)

thejust@yahoo.fr (Mibaile Justin)

gambobetch@yahoo.fr (Betchewe Gambo)

numami@gmail.com (Serge Y. Doka)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-293, author = {Houwe , A.Klofai , YerimaJustin , MibaileGambo , Betchewe and Doka , Serge Y.}, title = {Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {32}, number = {4}, pages = {293--303}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n4.1}, url = {http://global-sci.org/intro/article_detail/jpde/13610.html} }
TY - JOUR T1 - Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial AU - Houwe , A. AU - Klofai , Yerima AU - Justin , Mibaile AU - Gambo , Betchewe AU - Doka , Serge Y. JO - Journal of Partial Differential Equations VL - 4 SP - 293 EP - 303 PY - 2020 DA - 2020/01 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n4.1 UR - https://global-sci.org/intro/article_detail/jpde/13610.html KW - CRLH transmission line KW - nonlinear Schrödinger equation KW - Sine-Cosine method KW - solitary waves. AB -

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.

Houwe , A.Klofai , YerimaJustin , MibaileGambo , Betchewe and Doka , Serge Y.. (2020). Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial. Journal of Partial Differential Equations. 32 (4). 293-303. doi:10.4208/jpde.v32.n4.1
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