An efficient analytical approach to investigate fractional Caudrey–Dodd–Gibbon Equations with non-singular kernel derivatives

D Fathima, RA Alahmadi, A Khan, A Akhter, AH Ganie - Symmetry, 2023 - mdpi.com
Fractional calculus is at this time an area where many models are still being developed,
explored, and used in real-world applications in many branches of science and engineering …

A comparative study of fractional partial differential equations with the help of yang transform

M Naeem, H Yasmin, R Shah, NA Shah, JD Chung - Symmetry, 2023 - mdpi.com
In applied sciences and engineering, partial differential equations (PDE) of integer and non-
integer order play a crucial role. It can be challenging to determine these equations' exact …

A comparative study of the fractional partial differential equations via novel transform

AH Ganie, MM AlBaidani, A Khan - Symmetry, 2023 - mdpi.com
In comparison to fractional-order differential equations, integer-order differential equations
generally fail to properly explain a variety of phenomena in numerous branches of science …

On survey of the some wave solutions of the non-linear Schrödinger equation (NLSE) in infinite water depth

T Tazgan, E Celık, G Yel, H Bulut - Gazi University Journal of …, 2023 - dergipark.org.tr
In this work, we use two different analytic schemes which are the Sine-Gordon expansion
technique and the modified exp-expansion function technique to construct novel exact …

Solitary wave solutions to some nonlinear conformable partial differential equations

SŞŞ Kılıç, E Çelik, H Bulut - Optical and Quantum Electronics, 2023 - Springer
Fractional calculus is a field that is currently used in the world's applications in many science
and engineering fields where many models are still being developed and researched. The …

New periodic-wave, periodic-cross-kink wave, three wave and other analytical wave solitons of new (2+ 1)-dimensional KdV equation

M Raheel, A Zafar, JG Liu - The European Physical Journal Plus, 2024 - Springer
This research is concerned to some modernistic solutions of new (2+ 1)-dimensional
Korteweg–de Vries equation. The collected solutions can be executed in exposing of this …

Some latest families of exact solutions to Date–Jimbo–Kashiwara–Miwa equation and its stability analysis

A Akbulut, RT Alqahtani, NH Alharthi - Mathematics, 2023 - mdpi.com
The present study demonstrates the derivation of new analytical solutions for the Date–
Jimbo–Kashiwara–Miwa equation utilizing two distinct methodologies, specifically the …

New soliton solutions of kraenkel-manna-merle system with beta time derivative

U Bayrakci, ST Demiray, H Yildirim - Physica Scripta, 2023 - iopscience.iop.org
This article discusses the fractional Kraenkel-Manna-Merle (KMM) system, which describes
the motion of a nonlinear ultrashort wave pulse through saturated ferromagnetic materials …

[HTML][HTML] Dynamical perspective of sensitivity analysis and optical soliton solutions to the fractional Benjamin–Ono model

R Hussain, J Murtaza, J Ahmad, S Alkarni, NA Shah - Results in Physics, 2024 - Elsevier
In the current research, one of the most prevalent models of oceanic engineering is
examined for its analytical and approximate analysis. With the application of a robust …

A study of propagation of the ultra-short femtosecond pulses in an optical fiber by using the extended generalized Riccati equation mapping method

Z Manzoor, MS Iqbal, S Hussain, F Ashraf, M Inc… - Optical and Quantum …, 2023 - Springer
In this study, the propagation of the ultra-short femtosecond pulses in an optical fiber is
modeled by the Kundu–Eckhaus equation with cubic, quintic nonlinearities, and the Raman …