Zobrazeno 1 - 10
of 14 429
pro vyhledávání: '"KLEIN, C"'
Autor:
Klein, C., Saut, J. -C.
The aim of this paper is to survey and complete, mostly by numerical simulations, results on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. It is the only member of the so-called (abcd) family of Boussinesq syst
Externí odkaz:
http://arxiv.org/abs/2402.17576
A detailed study of ray tracing in the space-time generated by a disk of counter-rotating dust is presented. The space-time is given in explicit form in terms of hyperelliptic theta functions. The numerical approach to ray tracing is set up for gener
Externí odkaz:
http://arxiv.org/abs/2401.11498
Autor:
Klein, C., Stoilov, N.
We propose a method to numerically compute fractional derivatives (or the fractional Laplacian) on the whole real line via Riesz fractional integrals. The compactified real line is divided into a number of intervals, thus amounting to a multi-domain
Externí odkaz:
http://arxiv.org/abs/2401.04461
We consider in this paper various theoretical and numerical issues on classical one dimensional models of internal waves with surface tension.They concern the Cauchy problem, including the long time dynamic, localized solitons or multisolitons, the s
Externí odkaz:
http://arxiv.org/abs/2312.00152
Autor:
Klein, C., Saut, J. -C.
The aim of this paper is to present a survey and a detailed numerical study on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. In the one-dimensional case, this system can be viewed as a dispersive perturbation o
Externí odkaz:
http://arxiv.org/abs/2311.17517
Autor:
Gavrilyuk, S., Klein, C.
A detailed numerical study of solutions to the Serre-Green-Naghdi (SGN) equations in 2D with vanishing curl of the velocity field is presented. The transverse stability of line solitary waves, 1D solitary waves being exact solutions of the 2D equatio
Externí odkaz:
http://arxiv.org/abs/2306.09731
We present a computational approach to the classical Schottky problem based on Fay's trisecant identity for genus $g\geq 4$. For a given Riemann matrix $\mathbb{B}\in\mathbb{H}^{g}$, the Fay identity establishes linear dependence of secants in the Ku
Externí odkaz:
http://arxiv.org/abs/2303.15249
Autor:
Klein, C., Pillet, J.
Higher order degenerated versions of Fay's trisecant identity are presented. It is shown that these lead to solutions for Schwarzian Kadomtsev-Petviashvili equations.
Externí odkaz:
http://arxiv.org/abs/2301.05924
Autor:
Klein, C., Stoilov, N.
We present a numerical approach for generalised Korteweg-de Vries (KdV) equations on the real line. In the spatial dimension we compactify the real line and apply a Chebyshev collocation method. The time integration is performed with an implicit Rung
Externí odkaz:
http://arxiv.org/abs/2112.09952
An efficient high precision hybrid numerical approach for integrable Davey-Stewartson (DS) I equations for trivial boundary conditions at infinity is presented for Schwartz class initial data. The code is used for a detailed numerical study of DS I s
Externí odkaz:
http://arxiv.org/abs/2109.09169