Results 21 to 30 of about 48,721 (216)

Intertwining operators and soliton equations [PDF]

Functional Analysis and Its Applications, 1999
25 pages ...
Golenishcheva-Kutuzova, M. I., Lebedev, D. R.   +1 more
openaire   +3 more sources

Higher-order Kerr nonlinear and dispersion effects on fiber optics

Results in Physics, 2021
In new communication optical fiber enforcements, the nonlinear Schrödinger equations (NLSEs) have honorable description for soliton transmission characteristics.
H.G. Abdelwahed, Mahmoud A.E. Abdelrahman, S. Alghanim, N.F. Abdo   +3 more
doaj   +1 more source

Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach

Partial Differential Equations in Applied Mathematics, 2022
The prime goal of this study is to investigate the soliton dynamics to the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony​ (WBBM) equations in the absence of self-phase modulation by employing the advanced exp−ϕψ-expansion method.
Abdulla - Al - Mamun, Samsun Nahar Ananna, Tianqing An, Md. Asaduzzaman, Ahammodullah Hasan   +4 more
doaj   +1 more source

On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions

Heliyon, 2023
In this paper, the (2+1)-dimensional generalized fifth-order KdV equation and the extended (3+1)-dimensional Jimbo-Miwa equation were transformed into the Hirota bilinear forms with Hirota direct method.
Baoyong Guo, Yong Fang, Huanhe Dong
doaj   +1 more source

The Integrability of a New Fractional Soliton Hierarchy and Its Application

Advances in Mathematical Physics, 2022
Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system.
Xiao-ming Zhu, Jian-bing Zhang
doaj   +1 more source

Solitons in Schrödinger-Maxwell equations [PDF]

Journal of Fixed Point Theory and Applications, 2014
In this paper we study the Nonlinear Schr dinger-Maxwell equations (NSM). We are interested to analyse the existence of solitons, namely of finite energy solutions which exhibit stability properties. This paper is divided in two parts. In the first, we give an abstract definition of soliton and we develope an abstract existence theory.
Benci V, FORTUNATO, Donato
openaire   +3 more sources

New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations

Alexandria Engineering Journal, 2022
The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun, Mohammad Asif Arefin, M. Zohurul Islam, M. Ali Akbar, M. Hafiz Uddin   +4 more
doaj   +1 more source

Rational closed form soliton solutions to certain nonlinear evolution equations ascend in mathematical physics

Results in Physics, 2021
The variant Boussinesq and the Lonngren wave equations are underlying to model waves in shallow water, such as beaches, lakes, and rivers, as well as electrical signals in telegraph lines based on tunnel diodes. The aim of this study is to accomplish the
Hemonta K. Barman, Aly R. Seadawy, Ripan Roy, M. Ali Akbar, M.H. Raddadi   +4 more
doaj   +1 more source

Discretization of Toroidal Soliton Equations [PDF]

Journal of Nonlinear Mathematical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The solitary wave solutions to the Klein–Gordon–Zakharov equations by extended rational methods

AIP Advances, 2021
In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we find new soliton solutions for the Klein–Gordon–Zakharov equations.
Shao-Wen Yao, Sayyed Masood Zekavatmand, Hadi Rezazadeh, Javad Vahidi, Mohammad Bagher Ghaemi, Mustafa Inc   +5 more
doaj   +1 more source