نتایج جستجو برای: zakharov

تعداد نتایج: 875  

Journal: :Physical review letters 2004
Yaroslav V Kartashov Lucian-Cornel Crasovan Anna S Zelenina Victor A Vysloukh Anna Sanpera Maciej Lewenstein Lluis Torner

We address the dynamics of higher-order solitons in optical lattices, and predict their self-splitting into the set of their single-soliton constituents. The splitting is induced by the potential introduced by the lattice, together with the imprinting of a phase tilt onto the initial multisoliton states. The phenomenon allows the controllable generation of several coherent solitons linked via t...

Journal: :Optics letters 1992
Y S Kivshar

The vector optical solitons composed of bright and dark pulses are analyzed. It is shown that in the smallamplitude limit a bound state of these solitons is described by the generalized Zakharov system, which supports coupled soliton solutions, and under special conditions it reduces to an integrable model. In the limit in which the integrable model approximation is valid, numerical simulations...

2008
NIKOLAY TZVETKOV

We present a general result of transverse nonlinear instability of 1-d solitary waves for Hamiltonian PDE’s for both periodic or localized transverse perturbations. Our main structural assumption is that the linear part of the 1d model and the transverse perturbation “have the same sign”. Our result applies to the generalized KP-I equation, the Nonlinear Schrödinger equation, the generalized Bo...

Journal: :Journal of Mathematical Physics 2010

Journal: :Archive for Rational Mechanics and Analysis 2015

Journal: :International Journal of Mathematics and Mathematical Sciences 2005

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