Dispersive optical soliton solutions to the truncated time M-fractional paraxial wave equation with its stability analysis

被引：1
作者：
Ahmad J. [1 ]
Noor K. [1 ]
Akram S. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat
来源：
Optical and Quantum Electronics | 2024年 / 56卷 / 05期
关键词：
Analytic solutions; Improved F-expansion method; Modified exponent function method; Paraxial wave equation; Stability analysis; Traveling wave; Truncated time M-fractional derivative;
D O I：
10.1007/s11082-024-06663-6
中图分类号：
学科分类号：
摘要：
This article investigates the truncated time M-fractional paraxial wave equation. This model is frequently used to depict the activation of waves in utterly different physical frameworks, such as quantum mechanics and optics. Two trustworthy methodologies, the improved F-expansion and modified exponent function method, are used to obtain the different soliton solutions to the truncated time M-fractional paraxial wave equation. The obtained solutions offer a valuable understanding of the underlying physical events. Discussion is also had over the equation’s modulation instability, which confirms the given equation is stable. Several graphical charts, including 2D, 3D, density, and contour, are produced using symbolic software. These visual representations have a significant positive impact on qualitative evaluations of diverse natural occurrences. The evaluated findings showed that the approaches employed in this work to obtain inclusive and standard solutions are efficient and speedier in computing, they will be beneficial in addressing more difficult higher order nonlinear perturbed truncated time M-fractional models. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.
引用
收藏
相关论文
共 54 条
  • [1] Acay B., Bas E., Abdeljawad T., Non-local fractional calculus from different viewpoints generated by truncated M-derivative, J. Comput. Appl. Math, 366, (2020)
  • [2] Ahmad J., Akram S., Ali A., Analysis of new soliton type solutions to generalized extended (2+ 1)-dimensional Kadomtsev-Petviashvili equation via two techniques, Ain Shams Eng. J, (2023)
  • [3] Ahmad J., Akram S., Rehman S.U., Turki N.B., Shah N.A., Description of soliton and lump solutions to M-truncated stochastic Biswas-Arshad model in optical communication, Results Phys, (2023)
  • [4] Ahmad J., Rani S., Turki N.B., Shah N.A., Novel resonant multi-soliton solutions of time fractional coupled nonlinear Schrödinger equation in an optical fiber via an analytical method, Results Phys, (2023)
  • [5] Akbar Ali M., Ali N.H.M., The improved F-expansion method with Riccati equation and its applications in mathematical physics, Cogent Math, 4, 1, (2017)
  • [6] Akram S., Ahmad J., Sarwar S., Ali A., Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis, Opt. Quantum Electron, 55, (2023)
  • [7] Akram S., Ahmad J., Rehman S., U: Stability analysis and dynamical behavior of solitons in nonlinear optics modelled by Lakshmanan-Porsezian-Daniel equation, Opt Quantum Electron, 55, (2023)
  • [8] Ali K., Rizvi S.T.R., Nawaz B., Younis M., Optical solitons for the paraxial wave equation in Kerr media, Mod. Phys. Lett. B, 33, 3, (2019)
  • [9] Ali A., Ahmad J., Javed S., Exploring the dynamic nature of soliton solutions to the fractional coupled nonlinear Schrödinger model with their sensitivity analysis, Opt Quantum Electron, 55, (2023)
  • [10] Bas E., Acay B., The direct spectral problem via local derivative, including truncated Mittag-Leffler function, Appl. Math. Comput, 367, (2020)
123456