Results 31 to 40 of about 228 (77)

The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I. Direct and inverse scattering theory [PDF]

open access: yes, 2018
We develop the direct and inverse scattering theory of the linear eigenvalue problem associated with the classical Heisenberg continuous equation with in-plane asymptotic conditions.
Demontis, Francesco   +3 more
core   +1 more source

Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method

open access: yesAin Shams Engineering Journal, 2021
In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
doaj  

Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field

open access: yesAlexandria Engineering Journal, 2021
This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method then investigating the stability property of the obtained solutions through the
Mostafa M.A. Khater   +4 more
doaj  

On a gauge action on sigma model solitons

open access: yes, 2018
In this paper we consider a gauge action on sigma model solitons over noncommutative tori as source spaces, with a target space made of two points introduced in \cite{DKL:Sigma}.
Lee, Hyun Ho
core   +1 more source

Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity [PDF]

open access: yes, 2019
We consider a nonlocal family of Gross-Pitaevskii equations with nonzero conditions at infinity in dimension one. We provide conditions on the nonlocal interaction such that there is a branch of traveling waves solutions with nonvanishing conditions at ...
de Laire, André, Mennuni, Pierre
core   +4 more sources

Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV

open access: yesAdvanced Nonlinear Studies
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we ...
Charlier Christophe, Lenells Jonatan
doaj   +1 more source

Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method

open access: yesAlexandria Engineering Journal, 2020
In this work, a competent and efficient technique namely Exp-function method is used to find the solitary wave solutions of time fractional simplified modified Camassa-Holm equation (CH-equation).
Aniqa Zulfiqar, Jamshad Ahmad
doaj  

Multi–solitons, lumps, and breath solutions of the water wave propagation with surface tension via four recent computational schemes

open access: yesAin Shams Engineering Journal, 2021
This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater   +3 more
doaj  

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

open access: yesDemonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala   +5 more
doaj   +1 more source

Existence of solitons in the nonlinear beam equation

open access: yes, 2011
This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has been introduced by P.J. McKenna and W.
Benci, Vieri, Fortunato, Donato
core   +1 more source

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