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Discrete peakons

โœ Scribed by A. Comech; J. Cuevas; P.G. Kevrekidis

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
501 KB
Volume
207
Category
Article
ISSN
0167-2789

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๐Ÿ“œ SIMILAR VOLUMES

A discrete time peakons lattice
A discrete time peakons lattice
โœ Yuri B. Suris ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 369 KB
Stability of peakons
Stability of peakons
โœ Adrian Constantin; Walter A. Strauss ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 44 KB ๐Ÿ‘ 1 views

The peakons are peaked solitary wave solutions of a certain nonlinear dispersive equation that is a model in shallow water theory and the theory of hyperelastic rods. We give a very simple proof of the orbital stability of the peakons in the H 1 norm.

Peakons, r-matrix and Toda lattice
Peakons, r-matrix and Toda lattice
โœ O. Ragnisco; M. Bruschi ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 525 KB

The integrability of a family of Hamiltonian systems, describing in a particular case the motion of N "peakons" (special solutions of the so-called Camassa-Holm equation) is established in the framework of the r-matrix approach, starting from its Lax representation. In the general case, the r-matrix

Peakons, strings, and the finite Toda la
Peakons, strings, and the finite Toda lattice
โœ Richard Beals; David H. Sattinger; Jacek Szmigielski ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 87 KB ๐Ÿ‘ 1 views
Peakon solutions of the shallow water eq
Peakon solutions of the shallow water equation
โœ M.S. Alber; C. Miller ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 378 KB

A new parameterization of the Jacobi inversion problem is used along with the dynamics of the peaks to describe finite time interaction of peakon weak solutions of the shallow water equation. (~) 2000 Elsevier Science Ltd. All rights reserved.