منابع مشابه
Linear dispersive pre-defined peak amplitude modulation of spectrally modulated Airy-based pulses.
Spectrally modulated Airy-based pulses peak amplitude modulation (PAM) in linear dispersive media is investigated, designed, and numerically simulated. As it is shown here, it is possible to design the spectral modulation of the initial Airy-based pulses to obtain a pre-defined PAM profile as the pulse propagates. Although optical pulses self-amplitude modulation is a well-known effect under no...
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Approved: Thesis Supervisor Title and Department
متن کاملNumerical Study of Non - linear Dispersive Partial Differential Equations
15 Acknowledgements 17 Introduction 19 1 Dispersive Partial Differential Equations and Integrable Systems 29 1.1 Linear Dispersive Partial Differential Equations . . . . . . . . . . . . 29 1.2 Semilinear Dispersive PDEs . . . . . . . . . . . . . . . . . . . . . . . 32 1.2.1 Equations of NLS Type. . . . . . . . . . . . . . . . . . . . . . 33 1.2.2 Equations of KdV Type. . . . . . . . . . . . . ....
متن کاملNon homogeneous boundary value problems for linear dispersive equations
While the non-homogeneous boundary value problem for elliptic, hyperbolic and parabolic equations is relatively well understood, there are still few results for general dispersive equations. We define here a convenient class of equations comprising the Schrödinger equation, the Airy equation and linear ‘Boussinesq type’ systems, which is in some sense a generalization of strictly hyperbolic equ...
متن کاملFunctions, and Applications to Non-linear Dispersive Equations
The X s,b spaces, as used by Beals, Bourgain, Kenig-Ponce-Vega, Klainerman-Machedon and others, are fundamental tools to study the low-regularity behaviour of non-linear dispersive equations. It is of particular interest to obtain bilinear or multilinear estimates involving these spaces. By Plancherel's theorem and duality, these estimates reduce to estimating a weighted convolution integral in...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1990
ISSN: 0022-0396
DOI: 10.1016/0022-0396(90)90014-g