Results 11 to 20 of about 712,956 (202)
Effects of vorticity on solitary waves. [PDF]
Sci Rep, 2022 AbstractThe vorticity effect on solitary wave profiles has not been solved experimentally; previous studies theoretically and numerically showed that when a solitary wave progressed in the positive direction, the effective wavelength of a solitary wave with positive vorticity increased.
Nakayama K +3 more
europepmc +4 more sources
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
openaire +6 more sources
Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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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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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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The steady-state form of large-amplitude internal solitary waves [PDF]
, 2010 A new numerical scheme for obtaining the steady-state form of an internal solitary wave of large amplitude is presented. A stratified inviscid two-dimensional fluid under the Boussinesq approximation flowing between horizontal rigid boundaries is ...
King, Stuart Edward +5 more
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Instability in internal solitary waves with trapped cores [PDF]
, 2012 A numerical method that employs a combination of contour advection and pseudo-spectral techniques is used to investigate instability in internal solitary waves with trapped cores. A three-layer configuration for the background stratification in which the
King, Stuart Edward +5 more
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Bipolar Solitary Wave Interactions within the Schamel Equation
Mathematics, 2023 Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the context of abnormally large wave formation, often referred to as freak or rogue ...
Ekaterina Didenkulova +2 more
doaj +1 more source
Experiments on the structure and stability of mode-2 internal solitary-like waves propagating on an offset pycnocline [PDF]
, 2015 The structure and stability of mode-2 internal solitary-like waves is investigated experimentally. A rank-ordered train of mode-2 internal solitary waves is generated using a lock release configuration.
P. A. Davies +11 more
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Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System
Abstract and Applied Analysis, 2014 We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system ut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0 called D(m,n) system. We reveal some interesting bifurcation phenomena as follows. (1) For D(2,1) system, the fractional solitary
Huixian Cai, Chaohong Pan, Zhengrong Liu
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