$$\text{Sech}^{2}$$ 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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Results in Physics, 2023 A theoretical investigation is done to study the propagation of dust-acoustic (DA) solitary waves in a dusty plasma system containing dynamic positively as well as negatively charged warm dust species and nonthermally distributed ion and electron species.
S. Tarofder, A. Mannan, A.A. Mamun
doaj +1 more source
Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We consider the existence and orbital stability of bound state solitary waves and ground state solitary waves for a class of nonlinear Schrödinger system with quadratic interaction in $\mathbb{R}^n$ ($n=2,3$).
Guoqing Zhang, Tongmu Gu
doaj +1 more source