Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation

Magdalena Maria Musielak; Svetlana Roudenko

doi:10.1063/1.3636830

Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation

Abstract

The focusing nonlinear Schrödinger equation arises in various physical phenomena and it is therefore of interest to determine mathematical conditions on the initial data that guarantee whether the corresponding solution will blow up in finite time or exist globally in time. We focus on solutions to the mass‐supercritical nonlinear Schrödinger equation (1) in 1D case. In particular, we investigate numerical thresholds between blow up and scattering of solutions in the focusing NLS equation as well as rates and profiles of blow up solutions. We consider several initial data families and the degree of nonlinearity p>5.

Citations

0

CrossRef
0

Web of Science
0

Scopus

Authors (2)

Magdalena Maria Musielak dr
- The George Washington University
Svetlana Roudenko
- The George Washington University

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:: Conference activity
Type:: publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:: AIP Conference Proceedings strony 713 - 716
Language:: English
Publication year:: 2011
Bibliographic description:: Musielak M., Roudenko S.: Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation// AIP Conference Proceedings/ : , 2011, s.713-716
DOI:: Digital Object Identifier (open in new tab) 10.1063/1.3636830
Verified by:: Gdańsk University of Technology