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

doi:10.1016/j.heliyon.2023.e14036

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

Heliyon. 2023 Feb 26;9(3):e14036. doi: 10.1016/j.heliyon.2023.e14036. eCollection 2023 Mar.

Authors

Ahmed H Arnous¹, Anjan Biswas^{2

3

4

5

6}, Abdul H Kara⁷, Yakup Yıldırım⁸, Luminita Moraru⁹, Simona Moldovanu¹⁰, Puiu Lucian Georgescu⁹, Abdulah A Alghamdi³

Affiliations

¹ Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt.
² Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245, USA.
³ Mathematical Modeling and Applied Computation (MMAC) Research Group,Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia.
⁴ Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, 0204, Pretoria, South Africa.
⁵ Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati, 800201, Romania.
⁶ Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow, 115409, Russian Federation.
⁷ School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits, 2050, Johannesburg, South Africa.
⁸ Department of Computer Engineering, Biruni University, Istanbul, 34010, Turkey.
⁹ Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania.
¹⁰ 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.

Abstract

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.

Keywords: Conservation laws; Dispersion; Solitons.