Dynamics of a new class of solitary wave structures in telecommunications systems via a (2+ 1)-dimensional nonlinear transmission line

G Tao, J Sabi'u, S Nestor, RM El-Shiekh… - … Physics Letters B, 2022 - World Scientific
The telecommunications revolution finds its foundation thanks to new service offerings
including voice, images, security of computer data and much more. Thereby …

[HTML][HTML] Periodic and solitary wave solutions to a family of new 3D fractional WBBM equations using the two-variable method

SN Ananna, T An, NHM Shahen - Partial Differential Equations in Applied …, 2021 - Elsevier
For the newly implemented 3D fractional Wazwaz–Benjamin–Bona–Mahony​(WBBM)
equation family, the present study explores exact singular, solitary, and periodic singular …

Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics

AA Mamun, NHM Shahen, SN Ananna… - Heliyon, 2021 - cell.com
For the newly implemented 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM)
equation family, the present study explores the exact singular, solitary, and periodic singular …

The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method

M Kaplan, A Akbulut - Optical and Quantum Electronics, 2021 - Springer
In this study, we applied the generalized Kudryashov method to two different conformable
fractional differential equations and one system namely Burgers' equation with conformable …

Nonlinear dynamic behaviors of the generalized (3+ 1)‐dimensional KP equation

JG Liu, XJ Yang, YY Feng, P Cui - ZAMM‐Journal of Applied …, 2022 - Wiley Online Library
Under investigation in this article is a generalized (3+ 1)‐dimensional Kadomtsev–
Petviashvili (KP) equation, which is usually used to describe nonlinear phenomena in fluid …

Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator

H Yasmin, AA Alderremy, R Shah, A Hamid Ganie… - Frontiers in …, 2024 - frontiersin.org
In this study, we employ the effective iterative method to address the fractional Wu-Zhang
Equation within the framework of the Caputo Derivative. The effective iterative method offers …

Darboux transformations of classical Boussinesq system and its multi-soliton solutions

Y Li, JE Zhang - Physics Letters A, 2001 - Elsevier
In this Letter, we present the third kind of Darboux transformation of the classical Boussinesq
system, and discuss its relationship with the two basic Darboux transformations. By applying …

[HTML][HTML] Investigation of lump, soliton, periodic, kink, and rogue waves to the time-fractional phi-four and (2+ 1) dimensional CBS equations in mathematical physics

LMB Alam, J Xingfang, SN Ananna - Partial Differential Equations in …, 2021 - Elsevier
In this article, we investigate the lump, soliton, periodic, kink, and rogue waves to the time-
fractional phi-four and (2+ 1) dimensional Calogero-Bogoyavlanskil schilf (CBS) equations …

Oceanic studies via a variable-coefficient nonlinear dispersive-wave system in the Solar System

XY Gao, YJ Guo, WR Shan - Chaos, Solitons & Fractals, 2021 - Elsevier
People pay attention to the oceans crossing the Solar System: the Earth, Enceladus and
Titan. Hereby, on a variable-coefficient nonlinear dispersive-wave system for the shallow …

Solitons in conformable time-fractional Wu–Zhang system arising in coastal design

G Yel, HM Baskonus - Pramana, 2019 - Springer
The modified exp\left (-Ω\left (ζ\right)\right)-Ω ζ-expansion function method is applied to the
Wu–Zhang system with conformable time-fractional derivative to construct new analytical …