Recent Progress on Nonlinear Schrödinger Systems with Quadratic Interactions
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The study of nonlinear Schrödinger systems with quadratic interactions has attracted much attention in the recent years.
In this paper, we summarize time decay estimates of small solutions to the systems under the mass resonance condition in 2-dimensional space.
We show the existence of wave operators and modified wave operators of the systems under some mass conditions in n-dimensional space, where n≥2.
The existence of scattering operators and finite time blow-up of the solutions for the systems in higher space dimensions is also shown.
American Psychological Association (APA)
Li, Chunhua& Hayashi, Nakao. 2014. Recent Progress on Nonlinear Schrödinger Systems with Quadratic Interactions. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1048763
Modern Language Association (MLA)
Li, Chunhua& Hayashi, Nakao. Recent Progress on Nonlinear Schrödinger Systems with Quadratic Interactions. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1048763
American Medical Association (AMA)
Li, Chunhua& Hayashi, Nakao. Recent Progress on Nonlinear Schrödinger Systems with Quadratic Interactions. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1048763
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048763