Results 11 to 20 of about 137 (41)
Mechanical analogy for the wave‐particle: helix on a vortex filament
Journal of Applied Mathematics, Volume 2, Issue 5, Page 241-263, 2002., 2002 The small amplitude‐to‐thread ratio helical configuration of a vortex filament in the ideal fluid behaves exactly as de Broglie wave. The complex‐valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve.
Valery P. Dmitriyev
wiley +1 more source
On the Galilean invariance of some dispersive wave equations [PDF]
, 2013 Surface water waves in ideal fluids have been typically modeled by asymptotic approximations of the full Euler equations. Some of these simplified models lose relevant properties of the full water wave problem. One of them is the Galilean symmetry, which
Abdulloev +67 more
core +5 more sources
Three‐dimensional Korteweg‐de Vries equation and traveling wave solutions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 379-384, 2000., 2000 The three‐dimensional power Korteweg‐de Vries equation [ut+unux+uxxx] x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n = 1 and n = 2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson′s summation ...
Kenneth L. Jones
wiley +1 more source
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations [PDF]
, 2013 After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties.
Abramowitz +19 more
core +6 more sources
A boussinesq-type model for waves generated by flow over a bump
, 2014 A uniform ow disturbed by a bump is studied. The eect of the disturbance is presented at the surface, generating wave. The wave propagation is modeled into a couple of equations, in terms of the surface elevation and the depth average velocity.
L. Wiryanto, S. Mungkasi
semanticscholar +1 more source
Macroscopic dynamics of incoherent soliton ensembles: soliton-gas kinetics and direct numerical modeling [PDF]
, 2016 We undertake a detailed comparison of the results of direct numerical simulations of the integrable soliton gas dynamics with the analytical predictions inferred from the exact solutions of the relevant kinetic equation for solitons.
Carbone, Francesco +2 more
core +6 more sources
The non-local AFM water-wave method for cylindrical geometry [PDF]
, 2019 We develop an AFM (Ablowitz-Fokas-Musslimani) method applicable to studying water waves in a cylindrical geometry. As with the established AFM method for two-dimensional and three-dimensional water waves, the formulation involves only surface variables ...
Blyth, Mark, Parau, Emilian
core +1 more source
Numerical simulation of a solitonic gas in KdV and KdV-BBM equations [PDF]
, 2014 19 pages, 11 figures, 47 references. Other author's papers can be found at http://www.denys-dutykh.com/The collective behaviour of soliton ensembles (i.e. the solitonic gas) is studied using the methods of the direct numerical simulation.
Dutykh, Denys, Pelinovsky, Efim
core +4 more sources
Orbital stability of standing waves for supercritical NLS with potential on graphs
, 2018 In this paper we study the existence and stability of normalized standing waves for the nonlinear Schr\"odinger equation on a general starlike graph with potentials.
Ardila, Alex H.
core +1 more source
Results in PhysicsThe space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder +4 more
doaj +1 more source