Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations

Author(s)
Yan, Shusen
Publication Date
2008
Abstract
The study of the Schrödinger equation is one of the main objects of quantum physics. The evolution of a group of identical particles interacting with each other in ultra-cold states, in particular, Bose-Einstein condensates, is described via Hartree approximation, to an excellent degree of accuracy by nonlinear Schrödinger equations. The equation also arises in many fields of physics. For instance, when we describe the propagation of light in some nonlinear optical materials, the nonlinear Schrödinger equations in nonlinear optics are reduced from Maxwell's equations.
Citation
Transactions of the American Mathematical Society, 360(7), p. 3813-3837
ISSN
1088-6850
0002-9947
Link
Publisher
American Mathematical Society
Title
Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations
Type of document
Journal Article
Entity Type
Publication

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