A New Iterative Method for Investigating Modified Camassa–Holm and Modified Degasperis–Procesi Equations within Caputo Operator
In this paper, we employ the new iterative method to investigate two prominent nonlinear
partial differential equations, namely the modified Camassa–Holm (mCH) equation and the …
partial differential equations, namely the modified Camassa–Holm (mCH) equation and the …
Influence of Gyrotactic Microorganisms on Bioconvection in Electromagnetohydrodynamic Hybrid Nanofluid through a Permeable Sheet
Many biotechnology sectors that depend on fluids and their physical characteristics,
including the phenomenon of bioconvection, have generated a great deal of discussion. The …
including the phenomenon of bioconvection, have generated a great deal of discussion. The …
Acoustic fractional propagation in terms of porous xerogel and fractal parameters
This article portrays solid xerogel-type materials, based on chitosan, TEGylated
phenothiazine, and TEG (tri-ethylene glycol), dotted with a large number of pores, that are …
phenothiazine, and TEG (tri-ethylene glycol), dotted with a large number of pores, that are …
[HTML][HTML] Abundant novel stochastic fractional solitary wave solutions of a new extended (3+ 1)-dimensional Kadomtsev–Petviashvili equation
Abstract The (3+ 1)-dimensional Kadomtsev–Petviashvili equation arises in various physical
contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions …
contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions …
[HTML][HTML] Fractional view analysis of coupled Whitham-Broer-Kaup and Jaulent-Miodek equations
M Singh - Ain Shams Engineering Journal, 2024 - Elsevier
In this study, I systematically investigate the fractional Whitham-Broer-Kaup (WBK) system
and the fractional Coupled Jaulent-Miodek (CJM) equation under the Caputo fractional …
and the fractional Coupled Jaulent-Miodek (CJM) equation under the Caputo fractional …
[HTML][HTML] Applications of Riccati–Bernoulli and Bäcklund Methods to the Kuralay-II System in Nonlinear Sciences
The Kuralay-II system (K-IIS) plays a pivotal role in modeling sophisticated nonlinear wave
processes, particularly in the field of optics. This study introduces novel soliton solutions for …
processes, particularly in the field of optics. This study introduces novel soliton solutions for …
Numerical simulation and analysis of Airy's-type equation
In this article, we propose a novel new iteration method and homotopy perturbation method
(HPM) along with the Elzaki transform to compute the analytical and semi-analytical …
(HPM) along with the Elzaki transform to compute the analytical and semi-analytical …
A Comparative Analysis of Laplace Residual Power Series and a New Iteration Method for Fitzhugh-Nagumo Equation in the Caputo Operator Framework
AS Alshehry - Fractal and Fractional, 2023 - mdpi.com
In this paper, I utilize the Laplace residual power series method (LRPSM) along with a novel
iteration technique to investigate the Fitzhugh-Nagumo equation within the framework of the …
iteration technique to investigate the Fitzhugh-Nagumo equation within the framework of the …
[HTML][HTML] Characterizing stochastic solitons behavior in (3+ 1)-dimensional Schrödinger equation with Cubic–Quintic nonlinearity using improved modified extended …
Abstract An extended version of (3+ 1)-dimensional non-linear Schrödinger equation that
has a cubic–quintic nonlinear component under the stochastic effects is examined in this …
has a cubic–quintic nonlinear component under the stochastic effects is examined in this …
[HTML][HTML] Breather patterns and other soliton dynamics in (2+ 1)-dimensional conformable Broer-Kaup-Kupershmit system
In this work, the Extended Direct Algebraic Method (EDAM) is utilized to analyze and solve
the fractional (2+ 1)-dimensional Conformable Broer-Kaup-Kupershmit System (CBKKS) …
the fractional (2+ 1)-dimensional Conformable Broer-Kaup-Kupershmit System (CBKKS) …