Results 31 to 40 of about 49,111 (193)
Asymptotic Solitons of the Johnson Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2000 We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as $x\to+\infty$. We obtain asymptotic formulas as $t\to\infty$ for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.
Anders, Igor, Boutet de Monvel, Anne
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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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Intertwining operators and soliton equations [PDF]
Functional Analysis and Its Applications, 1999 25 pages ...
Golenishcheva-Kutuzova, M. I. +1 more
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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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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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On the Dynamics of Solitons in the Nonlinear Schrödinger Equation [PDF]
Archive for Rational Mechanics and Analysis, 2012 We study the behavior of the soliton solutions of the equation i((\partialψ)/(\partialt))=-(1/(2m))Δψ+(1/2)W_{ε}'(ψ)+V(x)ψ where W_{ε}' is a suitable nonlinear term which is singular for ε=0. We use the "strong" nonlinearity to obtain results on existence, shape, stability and dynamics of the soliton.
BENCI, VIERI +2 more
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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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Frontiers in Physics, 2021 This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza +5 more
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Ricci solitons: the equation point of view [PDF]
manuscripta mathematica, 2008 We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. Some simple proofs of known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of the Ricci flow.
MANOLO EMINENTI +2 more
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