Results 281 to 290 of about 49,746 (313)

Nonlinear Scattering and Analyticity Properties of Solitons

Journal of Nonlinear Science, 1998
The author considers the scattering of a soliton or solitary wave by a linear potential and shows that the amount of mass and energy lost by the solitary wave during a scattering event is exponentially small for a strong nonlinearity. In the case of a delta function potential or a meromorphic potential and the cubic nonlinear Schrödinger equation (NLS),
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Nonlinear Stimulated Scattering

2016
In this chapter, the first section reviews the various kinds of light scattering phenomena in the nature and points out the difference between stimulated scattering (nonlinear scattering) and spontaneous scattering (linear scattering).
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Nonlinear Scattering Theory

1974
Scattering theory compares the behavior in the distant future and past of a system evolving in time. It is called nonlinear if the system evolves in a nonlinear fashion. Consider a one-parameter group of operators on some linear space X: $$ U(t)U(s) = U(t + s);U(o) = I $$ -∞
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Inverse scattering problems of the nonlinear LIDAR‐equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998
AbstractThe ill‐posed problem of aerosol size distribution determination from a small number of backscatter and extinction measurements was solved successfully with a mollifier method which is advantageous since the ill‐posed part is performed on exactly given quantities, the points r where n(r) is evaluated may be freely selected.
Böckmann, Christine (Prof. Dr. rer. nat. habil.), Niebsch, Jenny   +1 more
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Nonlinear scattering and trapping by local photonic potentials

Bragg Gratings, Photosensitivity, and Poling in Glass Waveguides, 2007
We experimentally study the nonlinear scattering by local photonic structures embedded in continuous Kerr media and demonstrate nonlinear trapping in guiding structures and resonant transmission in antiguiding structures. An intuitive physical picture is presented and verified in simulations.
Y, Linzon, R, Morandotti, M, Volatier, V, Aimez, R, Ares, S, Bar-Ad   +5 more
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Abstract scattering for nonlinear evolution equations

Mathematical Systems Theory, 1974
Scattering for Nonlinear Evolution Equations by G. F.
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Nonlinear Problems in Fluid Dynamics and Inverse Scattering - Inverse Scattering and Nonlinear Waves.

1994
Abstract : Research investigations involving the basic understanding and applications of nonlinear wave motion and related studies of inverse scattering and numerical simulation have been carried out with a number of significant results obtained. During this period, four papers were published in journals and three preprints were written.
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Nonlinear Problems in Fluid Dynamics and Inverse Scattering: Nonlinear Waves and Inverse Scattering.

1994
Abstract : During the past three years there have been 14 journal publications and 6 chapters published in books in addition to 4 Program in Applied Mathematics Reports (preprints of the Program) which have been submitted for publication. Also, the PI has been invited to give 30 lectures at universities and international conferences throughout the ...
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Pecularities of Nonlinear Wave Scattering by the System of a Linear and Nonlinear Scatterers

EMC'96 ROMA International Symposium on Electromagnetic Compatibility, 1996
A. A. Gorbachev, T. M. Zaboronkova, A. A. Vasenkov   +2 more
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On a nonlinear scattering operator

Communications on Pure and Applied Mathematics, 1973
Morawetz, C. S., Strauss, W. A.
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