Results 41 to 50 of about 24,624 (181)

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

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
core   +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

A low-dimensional conjugacy for elliptic equations and symmetry breaking on rotated domains [PDF]

, 1951
A topological conjugacy is established between certain elliptic PDEs with one unbounded time direction and a simple second-order differential equation, admitting the dynamics of such PDEs to be examined on a two-dimensional submanifold.
Armstrong, Seth, Schaaf, Renate
core   +5 more sources

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

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

Periodic, Singular and Dark Solitons of a Generalized Geophysical KdV Equation by Using the Tanh-Coth Method

Symmetry, 2023
KdV equations have a lot of applications of in fluid mechanics. The exact solutions of the KdV equations play a vital role in the wave dynamics of fluids. In this paper, some new exact solutions of a generalized geophysical KdV equation are computed with
Surapol Naowarat, Sayed Saifullah, Shabir Ahmad, M. Sen   +3 more
semanticscholar   +1 more source

Averaging for SDE-BSDE with null recurrent fast component Application to homogenization in a non periodic media [PDF]

, 2015
We establish an averaging principle for a family of solutions$(X^{\varepsilon}, Y^{\varepsilon})$ $ :=$ $(X^{1,\,\varepsilon},\,X^{2,\,\varepsilon},\, Y^{\varepsilon})$ of a system of SDE-BSDEwith a null recurrent fast component $X^{1,\,\varepsilon ...
Bahlali, K, Elouaflin, A, Pardoux, E
core   +1 more source

Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation [PDF]

Archive for Rational Mechanics and Analysis, 2015
In this paper, we develop computer-assisted techniques for the analysis of periodic orbits of ill-posed partial differential equations. As a case study, our proposed method is applied to the Boussinesq equation, which has been investigated extensively ...
R. Castelli, Marcio Gameiro, J. Lessard
semanticscholar   +2 more sources

Accurately model the Kuramoto--Sivashinsky dynamics with holistic discretisation [PDF]

, 2005
We analyse the nonlinear Kuramoto--Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse grids. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models the dynamics ...
A. J. Roberts, Roberts A., Roberts A., T. MacKenzie   +3 more
core   +2 more sources