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
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.
