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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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On the morphology of electrostatic solitary waves in the Earth’s aurora [PDF]
Scientific Reports, 2022 Electrostatic solitary waves (ESWs) have been detected in abundance in Space plasma observations, both by satellites in near-Earth plasma environments as well as by planetary missions, e.g. Cassini in Saturn or MAVEN in Mars.
Steffy Sara Varghese +2 more
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Brief communication: Multiscaled solitary waves [PDF]
Nonlinear Processes in Geophysics, 2017 It is analytically shown how competing nonlinearities yield multiscaled structures for internal solitary waves in stratified shallow fluids. These solitary waves only exist for large amplitudes beyond the limit of applicability of the Korteweg–de ...
O. G. Derzho
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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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Magma ascent mechanisms in the transition regime from solitary porosity waves to diapirism [PDF]
Solid Earth, 2021 In partially molten regions inside the Earth, melt buoyancy may trigger upwelling of both solid and fluid phases, i.e., diapirism. If the melt is allowed to move separately with respect to the matrix, melt perturbations may evolve into solitary porosity ...
J. Dohmen, H. Schmeling
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