[HTML][HTML] The dynamical behavior analysis of the fractional perturbed Gerdjikov–Ivanov equation

C Liu, Z Li - Results in Physics, 2024 - Elsevier
In this article, the fractional perturbed Gerdjikov–Ivanov equation is investigated. Firstly, the
fractional perturbed Gerdjikov–Ivanov equation is transformed into an ordinary differential …

Analytical soliton solutions of the beta time-fractional simplified modified Camassa-Holm equation in shallow water wave propagation

MM Khatun, MA Akbar - Journal of Umm Al-Qura University for Applied …, 2024 - Springer
In this study, the analytical soliton solutions of the beta time-fractional simplified modified
Camassa-Holm equation, a mathematical model used to describe the propagation of …

The closed-form solution by the exponential rational function method for the nonlinear variable-order fractional differential equations

MM ALBaidani, U Ali, AH Ganie - Frontiers in Physics, 2024 - frontiersin.org
The symmetry features of fractional differential equations allow effective explanation of
physical and biological phenomena in nature. The generalized form of the fractional …

Optical exact soliton solutions of nonlinear optical transmission equation using two explicit methods

M Sadaf, G Akram, S Arshed - Optical and Quantum Electronics, 2024 - Springer
In this research paper, the main aim is to investigate the nonlinear optical transmission
equation (NOTE) with two explicit methods. The NOTE is a nonlinear partial differential …

Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods

M Mamunur Roshid, M Rahman… - Advances in …, 2024 - Wiley Online Library
The present work deals with the investigation of the time‐fractional Klein–Gordon (K‐G)
model, which has great importance in theoretical physics with applications in various fields …

[PDF][PDF] A study of the exact solutions and conservation laws of the classical Lonngren wave equation for communication signals

MYT Lephoko, CM Khalique - Malays. J. Math. Sci., 2024 - mjms.upm.edu.my
This study undertakes a comprehensive examination of the classical Lonngren wave
equation, a fundamental computational model used for simulating electrical signals in …

Korteweg–De Vries–Burger Equation with Jeffreys' Wind–Wave Interaction: Blow-Up and Breaking of Soliton-like Solutions in Finite Time

MA Manna, A Latifi - Fluids, 2023 - mdpi.com
In this study, the evolution of surface water solitary waves under the action of Jeffreys' wind–
wave amplification mechanism in shallow water is analytically investigated. The analytic …