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[HTML][HTML] Analysis of fractal fractional differential equations
Nonlocal differential and integral operators with fractional order and fractal dimension have
been recently introduced and appear to be powerful mathematical tools to model complex …
been recently introduced and appear to be powerful mathematical tools to model complex …
On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques
This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …
equation, which have not yet been presented for this equation. This equation arises in …
[HTML][HTML] New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method
This article presents soliton solutions to a generalized nonlinear Fokas-Lenells equation via
the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the …
the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the …
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation
Through five latest numerical schemes (Adomian decomposition (AD), El Kalla (EK), cubic B-
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …
Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation
MMA Khater, D Lu - Modern Physics Letters B, 2021 - World Scientific
In this paper, the stable analytical solutions' accuracy of the nonlinear fractional nonlinear
time–space telegraph (FNLTST) equation is investigated along with applying the …
time–space telegraph (FNLTST) equation is investigated along with applying the …
Diverse solitary and Jacobian solutions in a continually laminated fluid with respect to shear flows through the Ostrovsky equation
MMA Khater - Modern Physics Letters B, 2021 - World Scientific
In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK)
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …
[HTML][HTML] Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method
This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger
equation through the modified Khater method. This method is considered one of the most …
equation through the modified Khater method. This method is considered one of the most …
[HTML][HTML] Dynamical analysis of the nonlinear complex fractional emerging telecommunication model with higher–order dispersive cubic–quintic
In this paper, a nonlinear fractional emerging telecommunication model with higher–order
dispersive cubic–quintic is studied by using two recent computational schemes. This kind of …
dispersive cubic–quintic is studied by using two recent computational schemes. This kind of …
Advanced computational techniques for solving the modified KdV-KP equation and modeling nonlinear waves
MMA Khater - Optical and Quantum Electronics, 2024 - Springer
This research employs recent and precise computational techniques to identify new and
accurate solitary wave solutions of the modified Korteweg-de Vries-Kadomtsev-Petviashvili …
accurate solitary wave solutions of the modified Korteweg-de Vries-Kadomtsev-Petviashvili …
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme
This manuscript employs the trigonometric Quintic B‐spline (TQBS) scheme for investigating
the numerical solution of the conformable fractional nonlinear time‐space telegraph …
the numerical solution of the conformable fractional nonlinear time‐space telegraph …