Results 21 to 30 of about 48,699 (224)
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 +3 more
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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 +4 more
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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
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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
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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
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Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
AIMS Mathematics, 2022 In present study, the Boussinesq equation is obtained by means of the Sardar Sub-Equation Technique (SSET) to create unique soliton solutions containing parameters. Using this technique, different solutions are obtained, such as the singular soliton, the
Hamood-Ur-Rahman +9 more
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Discretization of Toroidal Soliton Equations [PDF]
Journal of Nonlinear Mathematical Physics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 +4 more
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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 +5 more
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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 +4 more
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