Results 1 to 10 of about 23,176 (145)

Diverse Soliton Structures of the (2+1)-Dimensional Nonlinear Electrical Transmission Line Equation

Advances in Mathematical Physics, 2022
In this work, the (2+1)-dimensional nonlinear electrical transmission line equation (NETLE) is investigated by applying three recent technologies, namely, the variational approach, Hamiltonian approach, and energy balance approach.
Peng-Fei Li, Kang-Jia Wang
doaj   +1 more source

Variational Principle and Diverse Wave Structures of the Modified Benjamin-Bona-Mahony Equation Arising in the Optical Illusions Field

Axioms, 2022
This study focuses on investigating the modified Benjamin-Bona-Mahony equation that is used to model the long wave in nonlinear dispersive media of the optical illusion field.
Kang-Jia Wang
doaj   +1 more source

Various Solitons and Other Wave Solutions to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model

Axioms, 2023
This paper outlines a study into the exact solutions of the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to illustrate the ferromagnetic materials of magnetic ordering by applying two recent techniques, namely, the Sardar ...
Feng Shi, Kang-Jia Wang
doaj   +1 more source

On fractional order computational solutions of low-pass electrical transmission line model with the sense of conformable derivative

Alexandria Engineering Journal, 2023
In this study, we solve fractional order PDEs with free parameters that regulate wave motion in a low-pass electrical transmission line equation (LPET) using the unified technique. To convert the governing equation into an ordinary differential equation (
Foyjonnesa, Nur Hasan Mahmud Shahen, M.M. Rahman, Ali Saleh Alshomrani, Mustafa Inc   +4 more
doaj   +1 more source

Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method

Complexity, 2020
In this article, some new nonlinear fractional partial differential equations (PDEs) (the space-time fractional order Boussinesq equation; the space-time (2 + 1)-dimensional breaking soliton equations; and the space-time fractional order SRLW equation ...
Haifa Bin Jebreen
doaj   +1 more source

Global exponential stability and existence of periodic solutions of fuzzy wave equations

Advances in Difference Equations, 2020
In this paper, the global exponential stability and the existence of periodic solutions of fuzzy wave equations are investigated. By variable substitution the system of partial differential equations (PDEs) is transformed from second order to first order.
Wei Liu, Yimin Lou
doaj   +1 more source

Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm

Partial Differential Equations in Applied Mathematics, 2021
This paper aims to study an improved perturbed Schrödinger equation (IPSE) with a kind of Kerr law non-linearity equation governing the propagation dynamics of soliton in optical fibers through the nano-optical fiber.
Adil Jhangeer, Waqas Ali Faridi, Muhammad Imran Asjad, Ali Akgül   +3 more
doaj   +1 more source

Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method

Advances in Mathematical Physics, 2018
We apply the generalized projective Riccati equations method with the aid of Maple software to construct many new soliton and periodic solutions with parameters for two higher-order nonlinear partial differential equations (PDEs), namely, the nonlinear ...
A. M. Shahoot, K. A. E. Alurrfi, I. M. Hassan, A. M. Almsri   +3 more
doaj   +1 more source

A diversity of patterns to new (3 + 1)-dimensional Hirota bilinear equation that models dynamics of waves in fluids

Results in Physics, 2023
This article discusses the behavior of specific dispersive waves to new (3+1)-dimensional Hirota bilinear equation (3D-HBE). The 3D-HBE is used as a governing equation for the propagation of waves in fluid dynamics.
U. Younas, Hajar F. Ismael, T.A. Sulaiman, Muhammad Amin S. Murad, Nehad Ali Shah, Mohsen Sharifpur   +5 more
doaj   +1 more source

A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy [PDF]

Computational Algorithms and Numerical Dimensions
Numerical solutions to partial differential equations (PDEs) play a vital role in modeling complex physical phenomena across scientific computing and engineering disciplines.
Muhammad Abid, Muhammad Shahid
doaj   +1 more source