منابع مشابه
Scattering Operators for Matrix Zakharov-Shabat Systems
In this article the scattering matrix pertaining to the defocusing matrix Zakharov-Shabat system on the line is related to the scattering operator arising from time-dependent scattering theory. Further, the scattering data allowing for a unique retrieval of the potential in the defocusing matrix Zakharov-Shabat system are characterized. Mathematics Subject Classification (2000). Primary 34A55, ...
متن کاملNumerical methods for the generalized Zakharov system
We present two numerical methods for the approximation of the generalized Zakharov system (ZS). The first one is the time-splitting spectral (TSSP) method, which is explicit, time reversible, and time transverse invariant if the generalized ZS is, keeps the same decay rate of the wave energy as that in the generalized ZS, gives exact results for the plane-wave solution, and is of spectral-order...
متن کاملVariational approach for the quantum Zakharov system
The quantum Zakharov system is described in terms of a Lagrangian formalism. A time-dependent Gaussian trial function approach for the envelope electric field and the low-frequency part of the density fluctuation leads to a coupled, nonlinear system of ordinary differential equations. In the semiclassic case, linear stability analysis of this dynamical system shows a destabilizing rôle played b...
متن کاملScattering Theory for Zakharov Equations in Three Space Dimensions with Large Data
We study the scattering theory for the Zakharov equation in three space dimensions. We show the unique existence of the solution for this equation which tends to the given free profile with no restriction on the size of the scattered states and on the support of the Fourier transform of them. This yields the existence of the pseudo wave operators.
متن کاملZakharov-Shabat system and hyperbolic pseudoanalytic function theory
In [1] a hyperbolic analogue of pseudoanalytic function theory was developed. In the present contribution we show that one of the central objects of the inverse problem method the Zakharov-Shabat system is closely related to a hyperbolic Vekua equation for which among other results a generating sequence and hence a complete system of formal powers can be constructed explicitly.
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2006
ISSN: 0385-4035
DOI: 10.14492/hokmj/1285766433