Dynamics of Different Nonlinearities to the Perturbed Nonlinear Schrödinger Equation via Solitary Wave Solutions with Numerical Simulation
| العنوان: | Dynamics of Different Nonlinearities to the Perturbed Nonlinear Schrödinger Equation via Solitary Wave Solutions with Numerical Simulation |
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| المؤلفون: | Roshan Noor Mohamed, Kottakkaran Sooppy Nisar, M. Raheel, Muhammad Qasim Zafar, Mohamed S. Osman, Asim Zafar, Ashraf Elfasakhany |
| المصدر: | Fractal and Fractional, Vol 5, Iss 213, p 213 (2021) Fractal and Fractional Volume 5 Issue 4 |
| بيانات النشر: | MDPI AG, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Statistics and Probability, Physics, QA299.6-433, Computer simulation, perturbed nonlinear Schrödinger equation, beta derivative operator, Statistical and Nonlinear Physics, Derivative, solitary wave solutions, Differential operator, Power law, Power (physics), symbols.namesake, Nonlinear system, Simple (abstract algebra), symbols, QA1-939, Applied mathematics, Thermodynamics, QC310.15-319, Nonlinear Schrödinger equation, Mathematics, Analysis |
| الوصف: | This paper investigates the solitary wave solutions for the perturbed nonlinear Schrödinger equation with six different nonlinearities with the essence of the generalized classical derivative, which is known as the beta derivative. The aforementioned nonlinearities are known as the Kerr law, power, dual power law, triple power law, quadratic–cubic law and anti-cubic law. The dark, bright, singular and combinations of these solutions are retrieved using an efficient, simple integration scheme. These solutions suggest that this method is more simple, straightforward and reliable compared to existing methods in the literature. The novelty of this paper is that the perturbed nonlinear Schrödinger equation is investigated in different nonlinear media using a novel derivative operator. Furthermore, the numerical simulation for certain solutions is also presented. |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2504-3110 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ce4baa666a521f5deec1f47b410007c https://www.mdpi.com/2504-3110/5/4/213 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....8ce4baa666a521f5deec1f47b410007c |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 25043110 |
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