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 …
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 …
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 …
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 …
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 …
The present study demonstrates the derivation of new analytical solutions for the Date– Jimbo–Kashiwara–Miwa equation utilizing two distinct methodologies, specifically the …
This article discusses the fractional Kraenkel-Manna-Merle (KMM) system, which describes the motion of a nonlinear ultrashort wave pulse through saturated ferromagnetic materials …
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 …
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 …