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$$\text{Sech}^{2}$$ Sech 2 -type solitary waves and the stability analysis for the KdV–mKdV equation [PDF]
Scientific ReportsIn this article, we investigated the solitary wave solutions of the KdV–mKdV equation using Hirota’s bilinear method. Closed-form analytical single and multiple solitary wave solutions were obtained.
Zhi-Guo Liu, Muhua Liu, Jinliang Zhang
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Numerical Simulation of the Force Acting on the Riser by Two Internal Solitary Waves
Applied Sciences, 2022 An internal wave is a typical dynamic process. As an internal wave, an internal solitary wave usually occurs between two layers of fluids with different densities.
Wen Yu +3 more
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Physical Review E, 2023 In the present work we explore the concept of solitary wave billiards. I.e., instead of a point particle, we examine a solitary wave in an enclosed region and explore its collision with the boundaries and the resulting trajectories in cases which for particle billiards are known to be integrable and for cases that are known to be chaotic.
Jesús Cuevas-Maraver +2 more
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Journal of Hydrodynamics, Ser. B, 2006 AbstractThis paper gives an overview of our recent work on the fission solitary wave reactor concept. In order to gain an insight into this problem a simple but appropriate model, namely a one–group diffusion equation coupled with simplified burn–up equations of e.g. the common U238–Pu239 conversion chain is studied.
Chen, X. N., Maschek, W.
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Topographic solitary waves and groups
Ocean and Coastal Research, 2022 We examine nonlinear topographic waves in barotropic, rigid lid models with a focus on how depth shapes can or cannot support solitary waves. Comparisons between the full equations and the quasigeostrophic system show that the conditions for vanishing ...
Glenn R. Flierl
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On the interaction of short linear internal waves with internal solitary waves [PDF]
Nonlinear Processes in Geophysics, 2018 We study the interaction of small-scale internal wave packets with a large-scale internal solitary wave using high-resolution direct numerical simulations in two dimensions.
C. Xu, M. Stastna
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Mass and momentum transfer by solitary internal waves in a shelf zone [PDF]
Nonlinear Processes in Geophysics, 2012 The evolution of large amplitude internal waves propagating towards the shore and more specifically the run up phase over the "swash" zone is considered.
N. Gavrilov +2 more
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Nonexistence of Subcritical Solitary Waves [PDF]
Archive for Rational Mechanics and Analysis, 2021 AbstractWe prove the nonexistence of two-dimensional solitary gravity water waves with subcritical wave speeds and an arbitrary distribution of vorticity. This is a longstanding open problem, and even in the irrotational case there are only partial results relying on sign conditions or smallness assumptions.
Vladimir Kozlov +2 more
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Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves.
Anjan Biswas +6 more
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Noise of Internal Solitary Waves Measured by Mooring-Mounted Hydrophone Array in the South China Sea
Journal of Marine Science and Engineering, 2022 Internal solitary waves in the South China Sea have attracted attention because of their large amplitude and high rate of occurrence. Internal solitary waves have a substantial influence on underwater sound propagation and ambient noise.
Jiemeihui Li +3 more
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