Nonlinear dispersive wave propagation pattern in optical fiber system

MH Uddin, UHM Zaman, MA Arefin, MA Akbar - Chaos, Solitons & Fractals, 2022 - Elsevier
Nonlinear fractional-order partial differential equations are an important tool in science and
engineering for explaining a wide range of nonlinear processes. We consider the nonlinear …

New analytical and numerical solutions to the (2+ 1)-dimensional conformable cpKP–BKP equation arising in fluid dynamics, plasma physics, and nonlinear optics

M Şenol, M Gençyiğit, ME Koksal, S Qureshi - Optical and Quantum …, 2024 - Springer
Abstract This study investigates the (2+ 1)-dimensional conformable combined potential
Kadomtsev–Petviashvili-B-type Kadomtsev–Petviashvili (cpKP–BKP) equation. It is a linear …

Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation

AM Mubaraki, RI Nuruddeen, KK Ali… - Optical and Quantum …, 2024 - Springer
Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …

A novel scheme for the hyperbolic partial differential equation through Fibonacci wavelets

S Kumbinarasaiah, M Mulimani - Journal of Taibah University for …, 2022 - Taylor & Francis
In this study, we generated the operational matrices of integration based on the Fibonacci
wavelets through the concept of linear algebra and developed the novel technique known …

Dynamics study of stability analysis, sensitivity insights and precise soliton solutions of the nonlinear (STO)-Burger equation

E Hussain, Z Li, SAA Shah, EA Az-Zo'bi… - Optical and Quantum …, 2023 - Springer
The purpose of this manuscript is to investigate the precise soliton solution of the (1+ 1)-
dimensional Sharma–Tasso–Olver–Burgers equation. This study thoroughly explores the …

A comparative study of two fractional nonlinear optical model via modified G′ G 2-expansion method

A Saboor, M Shakeel, X Liu, A Zafar… - Optical and Quantum …, 2024 - Springer
This article reveals the different types of optical solitons of non-linear coupled Riemann
wave equation and Wazwaz Kaur Boussinesq equation. We adopted a direct integration …

Establishing breather and N-soliton solutions for conformable Klein–Gordon equation

M Bilal, J Iqbal, R Ali, FA Awwad, EAA Ismail - Open Physics, 2024 - degruyter.com
This article develops and investigates the behavior of soliton solutions for the spatiotemporal
conformable Klein–Gordon equation (CKGE), a well-known mathematical physics model …

Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model

F Batool, MS Suleman, U Demirbilek… - Optical and Quantum …, 2024 - Springer
The major goal of the current research is to investigate the effects of fractional parameters on
the dynamic response of soliton waves of fractional non-linear density-dependent reaction …