Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Eryk Infeld"'
Publikováno v:
Acta Physica Polonica A. 133:1191-1199
The KdV equation can be derived in the shallow water limit of the Euler equations. Over the last few decades, this equation has been extended to include both higher order effects (KdV2) and an uneven river bottom. Although this equation is not integr
Publikováno v:
Nonlinear Dynamics. 91:1085-1093
The KdV equation can be derived in the shallow water limit of the Euler equations. Over the last few decades, this equation has been extended to include higher order effects. Although this equation has only one conservation law, exact periodic and so
Publikováno v:
Physica D: Nonlinear Phenomena. 241:1811-1814
We consider a three-spin-component Bose–Einstein condensate as described by as many coupled nonlinear Schrodinger equations. For a very special ratio of the coupling constants, exact N -soliton solutions to this set of equations are known. Here we
Publikováno v:
Physical Review E. 92
It is well known that the Korteweg-de Vries (KdV) equation has an infinite set of conserved quantities. The first three are often considered to represent mass, momentum, and energy. Here we try to answer the question of how this comes about and also
Publikováno v:
The European Physical Journal D. 65:49-53
We investigate binary soliton collisions in three component BECs with spin exchange interactions and F = 1. For very special values of the coupling constants, these collisions are known to be elastic. We find that, for a further narrow range of param
When the Euler equations for shallow water are taken to the next order, beyond KdV, momentum and energy are no longer exact invariants. (The only one is mass.) However, adiabatic invariants (AI) can be found. When the KdV expansion parameters are zer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::152f42c7b24045d505285b2e25107e6f
Publikováno v:
Optics Communications. 259:49-54
We demonstrate a possibility to stabilize three-dimensional spatiotemporal solitons ("light bullets") in self--focusing Kerr media by means of a combination of dispersion management in the longitudinal direction (with the group-velocity dispersion al
Autor:
A. A. Skorupski, Eryk Infeld
Publikováno v:
Applied Numerical Analysis & Computational Mathematics. 2:167-174
The numerical solution of an eigenvalue problem for a set of ODEs may be non-trivial when high accuracy is needed and the interval of the independent variable extends to infinity. In that case, efficient asymptotics are needed at infinity to produce
Autor:
Eryk Infeld, Yehuda B. Band, Marek Trippenbach, Richard S. Tasgal, Michał Matuszewski, Cao Long Van
Publikováno v:
Optics Communications. 229:391-395
Recent experimental developments in material sciences have generated hope that it will be possible to devise optical media where the difference in group velocity between the fundamental and third harmonic may be strongly suppressed. Under these circu
Autor:
Marek Trippenbach, Eryk Infeld
Publikováno v:
Journal of Physics B: Atomic, Molecular and Optical Physics. 36:4327-4337
A recent experiment demonstrated four-wave mixing of wavepackets in a sodium Bose–Einstein condensate (Deng et al 1999 Nature 398 218). This was followed by a theoretical and numerical treatment of the experiment (Trippenbach et al 2000 Phys. Rev.