Optical solitons and conservation laws for the concatenation model: Power–law nonlinearity

Ahmed H. Arnous; Anjan Biswas; Abdul H. Kara; Yakup Yıldırım; Luminita Moraru; Catalina Iticescu; Simona Moldovanu; Abdulah A. Alghamdi

Ain Shams Engineering Journal (Feb 2024)

Optical solitons and conservation laws for the concatenation model: Power–law nonlinearity

Ahmed H. Arnous,
Anjan Biswas,
Abdul H. Kara,
Yakup Yıldırım,
Luminita Moraru,
Catalina Iticescu,
Simona Moldovanu,
Abdulah A. Alghamdi

Affiliations

Ahmed H. Arnous: Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El–Shorouk Academy, Cairo, Egypt
Anjan Biswas: Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA; Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati 800201, Romania; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa
Abdul H. Kara: School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa
Yakup Yıldırım: Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey; Corresponding authors.
Luminita Moraru: Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania; Corresponding authors.
Catalina Iticescu: Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Simona Moldovanu: Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Abdulah A. Alghamdi: Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Journal volume & issue: Vol. 15, no. 2
p. 102381

Abstract

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By investigating the concatenation model that incorporates a power-law nonlinearity, this paper provides an in-depth analysis, and the soliton solutions are derived. By utilizing the extended tanh-function technique and the enhanced Kudryashov’s scheme, bright and singular 1-solitons are yielded, as demonstrated in this paper. The conservation laws can be obtained through the multipliers approach, which subsequently exposes the conserved quantities.

Published in Ain Shams Engineering Journal

ISSN: 2090-4479 (Print); 2090-4495 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/ain-shams-engineering-journal/

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