Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Biondini, A."'
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and maki
Externí odkaz:
http://arxiv.org/abs/2407.19770
We study an initial-boundary-value problem (IBVP) for a system of coupled Maxwell-Bloch equations (CMBE) that model two colors or polarizations of light resonantly interacting with a degenerate, two-level, active optical medium with an excited state
Externí odkaz:
http://arxiv.org/abs/2405.10117
The inverse scattering transform is developed to solve the Maxwell-Bloch system of equations that describes two-level systems with inhomogeneous broadening, in the case of optical pulses that do not vanish at infinity in the future. The direct proble
Externí odkaz:
http://arxiv.org/abs/2311.06867
The spectrum of the focusing Zakharov-Shabat operator on the circle is studied, and its explicit dependence on the presence of a semiclassical parameter is also considered. Several new results are obtained. In particular: (i) it is proved that the re
Externí odkaz:
http://arxiv.org/abs/2010.04263
The long-time asymptotic behavior of solutions to the focusing nonlinear Schr\"odinger (NLS) equation on the line with symmetric, nonzero boundary conditions at infinity is studied in the case of initial conditions that allow for the presence of disc
Externí odkaz:
http://arxiv.org/abs/1907.09432
We formulate the inverse scattering transform for the scalar Maxwell-Bloch system of equations describing the resonant interaction of light and active optical media in the case when the light intensity does not vanish at infinity. We show that pure b
Externí odkaz:
http://arxiv.org/abs/1907.06231
Publikováno v:
J. Phys. A: Math. Theor. 51, 215501 (2018)
Whitham modulation theory for certain two-dimensional evolution equations of Kadomtsev-Petviashvili (KP) type is presented. Three specific examples are considered in detail: the KP equation, the two-dimensional Benjamin-Ono (2DBO) equation and a modi
Externí odkaz:
http://arxiv.org/abs/1711.03686
We present a rigorous theory of the inverse scattering transform (IST) for the three-component defocusing nonlinear Schrodinger (NLS) equation with initial conditions approaching constant values with the same amplitude as $x\to\pm\infty$. The theory
Externí odkaz:
http://arxiv.org/abs/1511.02885
Publikováno v:
Journal of Spectral Theory. 12:939-992
Publikováno v:
J.Phys.A43:325302,2010
We study the one-dimensional Dirac equation in the framework of a position dependent mass under the action of a Woods-Saxon external potential. We find that constraining appropriately the mass function it is possible to obtain a solution of the probl
Externí odkaz:
http://arxiv.org/abs/1002.3723