Zobrazeno 1 - 10
of 207
pro vyhledávání: '"Leble, S."'
Autor:
Reichel, B., Leble, S.
We consider numerical solution of Coupled Nonlinear Schr\"{o}dinger Equation. We prove stability and convergence in the $L_2$ space for an explicit scheme which estimations is used for implicit scheme and compare both method. As a test we compare num
Externí odkaz:
http://arxiv.org/abs/math/0611420
Autor:
Solovchuk, M. A., Leble, S. B.
The system of hydrodynamic-type equations, derived by two-side distribution function for a stratified gas in gravity field is applied to a problem of ultrasound propagation and attenuation. The background state and linearized version of the obtained
Externí odkaz:
http://arxiv.org/abs/physics/0602024
Autor:
Leble, S. B., Reichel, B.
We generalize the projection to orthogonal function basis (including polarization modes) method for nonlinear (Kerr medium) fiber and use this method in a case of two-mode waveguide. We consider orthogonal Bessel functions basis that fit the choice o
Externí odkaz:
http://arxiv.org/abs/physics/0502122
Autor:
Leble, S. B., Reichel, B.
We derive coupled nonlinear Schr\"{o}dinger equation (CNLSE) for arbitrary polarized light propagation in a single-mode fiber. We introduce a basis of transverse eigen modes with the appropriate projecting hence solutions depend on the waveguide geom
Externí odkaz:
http://arxiv.org/abs/physics/0411255
Publikováno v:
Phys. Let. A.348, Issues 3-6, pp 326-334 (2006)
The problem of wave disturbance propagation in rarefied gas in gravity field is explored. The system of hydrodynamic-type equations for a stratified gas in gravity field is derived from BGK equation by method of piecewise continuous partition functio
Externí odkaz:
http://arxiv.org/abs/physics/0411248
Autor:
Leble, S., Yalunin, S.
A dressing technique is used to improve zero range potential (ZRP) model. We consider a Darboux transformation starting with a ZRP, the result of the "dressing" gives a potential with non-zero range that depends on a seed solution parameters. Concept
Externí odkaz:
http://arxiv.org/abs/quant-ph/0410055
We introduce a numerical method for general coupled Korteweg-de Vries systems. The scheme is valid for solving Cauchy problems for arbitrary number of equations with arbitrary constant coefficients. The numerical scheme takes its legality by proving
Externí odkaz:
http://arxiv.org/abs/math/0211453
Autor:
Halim, A. A., Leble, S. B.
The matrix 2x2 spectral differential equation of the second order is considered on x in ($-\infty,+\infty$). We establish elementary Darboux transformations covariance of the problem and analyze its combinations. We select a second covariant equation
Externí odkaz:
http://arxiv.org/abs/math-ph/0211018
Autor:
Leble, S. B., Yalunin, S.
A dressing of a nonspherical potential, which includes $n$ zero range potentials, is considered. The dressing technique is used to improve ZRP model. Concepts of the partial waves and partial phases for non-spherical potential are used in order to pe
Externí odkaz:
http://arxiv.org/abs/quant-ph/0210133