Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

Alyaa A. Al-Qarni, Huda O. Bakodah, Aisha A. Alshaery, Anjan Biswas, Yakup Yıldırım, Luminita Moraru and Simona Moldovanu
Additional contact information
Alyaa A. Al-Qarni: Department of Mathematics, College of Science, University of Bisha, P.O. Box 551, Bisha 61922, Saudi Arabia
Huda O. Bakodah: Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi Arabia
Aisha A. Alshaery: Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi Arabia
Anjan Biswas: Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia
Yakup Yıldırım: Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus
Luminita Moraru: Faculty of Sciences and Environment, Department of Chemistry, Physics 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

Mathematics, 2022, vol. 10, issue 1, 1-11

Abstract: The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

Keywords: improved adomian decomposition method; optical soliton; Fokas–Lenells equations; cubic-quartic optical solitons (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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