Dispersive optical solitons and conservation laws of Radhakrishnan–Kundu–Lakshmanan equation with dual–power law nonlinearity

Ahmed H. Arnous; Anjan Biswas; Abdul H. Kara; Yakup Yıldırım; Luminita Moraru; Simona Moldovanu; Puiu Lucian Georgescu; Abdulah A. Alghamdi

Heliyon (Mar 2023)

Dispersive optical solitons and conservation laws of Radhakrishnan–Kundu–Lakshmanan equation with dual–power law nonlinearity

Ahmed H. Arnous,
Anjan Biswas,
Abdul H. Kara,
Yakup Yıldırım,
Luminita Moraru,
Simona Moldovanu,
Puiu Lucian Georgescu,
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,Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, 0204, Pretoria, South Africa; 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 Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow, 115409, Russian Federation
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, Istanbul, 34010, Turkey; Corresponding author.
Luminita Moraru: Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania; Corresponding author.
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
Puiu Lucian Georgescu: Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
Abdulah A. Alghamdi: Mathematical Modeling and Applied Computation (MMAC) Research Group,Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

Journal volume & issue: Vol. 9, no. 3
p. e14036

Abstract

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The current paper implements three elegant approaches to recover a complete spectrum of optical solitons to the Radhakrishnan–Kundu–Lakshmanan equation with dual–power law of nonlinear refractive index. The conservation laws are also recovered by the usage of multipliers approach. The parameter constraints for the existence of such solitons are also enumerated. The numerical simulations of the recovered soliton solutions are also presented.

Published in Heliyon

ISSN: 2405-8440 (Online)
Publisher: Elsevier
Country of publisher: United Kingdom
LCC subjects: Science: Science (General); Social Sciences: Social sciences (General)
Website: https://www.cell.com/heliyon/home

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