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Wave propagation of the perturbed nonlinear Schrödingers equation in the nonlinear left-handed transmission lines

Alphonse Houwe

Department of Marine Engineering, Limbe Nautical Arts and Fisheries Institute, P. O. Box 485 Limbe, Cameroon

Department of Physics, Faculty of Science, The University of Maroua, P. O. Box 814, Maroua, Cameroon

E-mail Address: ahouw220@yahoo.fr

Corresponding author.

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Mibaile Justin

Higher Teachers’ Training College of Maroua, The University of Maroua, P. O. Box 55 Maroua, Cameroon

E-mail Address: mibailethejust7@yahoo.fr

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Dikwa Jérôme

Institut Universitaire de Technologie, Université de Ngaoundere, P. O. Box 454, Cameroon

E-mail Address: jeromedikwa@gmail.com

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Gambo Betchewe

Department of Physics, Faculty of Science, The University of Maroua, P. O. Box 814, Maroua, Cameroon

E-mail Address: gambobetch@yahoo.fr

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Serge Y. Doka

Department of Physics, Faculty of Science, The University of Ngaoundere, P. O. Box 454, Cameroon

E-mail Address: numami@gmail.com

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, and

Kofane Timoleon Crepin

Department of Physics, Faculty of Science, The University of Yaounde I, P. O. Box 812, Cameroon

E-mail Address: tckofane@yahoo.com

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https://doi.org/10.1142/S1793557120500357Cited by:1 (Source: Crossref)

Abstract

This paper secures chirped dark and bright solitons of the perturbed nonlinear Schrödinger equation with parabolic law nonlinearity and self-steepening effect in the nonlinear left-handed metamaterials (NLHMs). We use the ansatz method, sine-cosine, csch function method and the auxiliary equation method to fall out the various soliton solutions. In view of the results obtained, rational, hyperbolic and trigonometric solutions emerge and there are new in CRLH TL. The existence criteria of these solutions are also discussed. Finally, we observed that the use of the auxiliary equation method leads to the abundant and efficient solutions than the other methods.

Communicated by B. K. Dass

Keywords:

AMSC: 32W50, 32G34

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