Mathematical methods for construction new soliton solutions of Radhakrishnan-Kundu Lakshmanan equation

H.A. Eldidamony; Hamdy M. Ahmed; A.S. Zaghrout; Y.S. Ali; Ahmed H. Arnous

Alexandria Engineering Journal (Sep 2022)

Mathematical methods for construction new soliton solutions of Radhakrishnan-Kundu Lakshmanan equation

H.A. Eldidamony,
Hamdy M. Ahmed,
A.S. Zaghrout,
Y.S. Ali,
Ahmed H. Arnous

Affiliations

H.A. Eldidamony: Department of Basic Science, Higher Technological Institute, 10th of Ramadan City, Egypt
Hamdy M. Ahmed: Department of Physics and Engineering Mathematics, Higher Institute of Engineering El Shorouk Academy, El Shorouk City, Cairo, Egypt; Corresponding author.
A.S. Zaghrout: Department of Mathematics, Faculty of Science, Al-Azhar University girls branch, Nasr City, Egypt
Y.S. Ali: Department of Mathematics, Faculty of Science, Al-Azhar University girls branch, Nasr City, Egypt
Ahmed H. Arnous: Department of Physics and Engineering Mathematics, Higher Institute of Engineering El Shorouk Academy, El Shorouk City, Cairo, Egypt

Journal volume & issue: Vol. 61, no. 9
pp. 7111 – 7120

Abstract

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In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation. Bright solitons, dark solitons and singular solitons are obtained. Also, periodic solutions, singular periodic solutions, rational-type solutions and hyperbolic solutions are reported. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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