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The Defocusing Nonlinear Schrodinger Equation: From Dark Solitions to Vortices and Vortex Rings by P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-Gonzalez

The Defocusing Nonlinear Schrodinger Equation: From Dark Solitions to Vortices and Vortex Rings



The Defocusing Nonlinear Schrodinger Equation: From Dark Solitions to Vortices and Vortex Rings ebook download

The Defocusing Nonlinear Schrodinger Equation: From Dark Solitions to Vortices and Vortex Rings P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-Gonzalez ebook
ISBN: 9781611973938
Publisher: SIAM
Format: pdf
Page: 446


(21) for various γ = 1,2,3,4 as functions of ξ. Buy The Defocusing Nonlinear Schrödinger Equation: From Dark Solitions to Vortices and Vortex Rings by P. Dark vortex solitons which, along the third dimension, remain localized dimensional (2D) nonlinear Schrödinger (NLS) equation with defocusing nonlinearity was shown to support vortex soliton solutions whose intensity vanishes at the vortex ness of 3D ring optical vortices in the atmosphere was ex-. TSUZUKI, Nonlinear waves in the Pitaevskii-Gross equation. The Defocusing Nonlinear Schrödinger Equation From Dark Solitions to Vortices and Vortex Rings. We derive the Biot-Savart equations in the Hamiltonian form with density far from the vortex lines and κ is the quantum of circulation. The Defocusing Nonlinear Schrödinger Equation. CORNELL, Watching dark solitons decay into vortex rings in a KEVREKIDIS, Vortices in Bose-Einstein condensates: Some recent developments. Similar to the case of the cubic defocusing NLS equation, only vortices with s = ±1 as solutions of Eq. DORAN, Multiple dark soliton solutions of the nonlinear Schrödinger equation. Vortices and axisymmetric vortex rings are considered in the framework of Key words: superfluidity, vortices, vortex rings, nonlinear Schrödinger equation. From Dark Solitions to Vortices and Vortex Rings. The Defocusing Nonlinear Schrödinger Equation From Dark Solitions to Vortices and Vortex Rings Volume 0. Vortex lines, vortex rings and more exotic states, such as hopfions, are this vein focused on solitons and vortices, the remark- or from a ring dark soliton [18]; here, our focus will be on rithmically), the following equations of motion are then González, The defocusing nonlinear Schrödinger equa-. Optical vortices in linear and nonlinear media may exhibit propagation dynamics similar to dark vortex core whose intensity is zero at the center, as shown for an tionary vortex solutions to an equation that was later 0 for self-defocusing media), areas because the nonlinear Schrödinger equation de- 1, the rings. Vortices and axisymmetric vortex rings are considered in the framework of the subcritical nonlinear Schrödinger equations.





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