ncku-talk2016-11-24

Colloquium

DATE 2016-11-24　16:10-17:00

PLACE 數學館3174教室

SPEAKER 林太家教授（台灣大學數學系）

TITLE Nonlinear Schrödinger Equations with Square Root and Saturable Nonlinearities

ABSTRACT Nonlinear Schrodinger (NLS) equations with square root and saturable nonlinearities are well-known models to describe photorefractive mediums in nonlinear optics. Mathematically, such nonlinearities are different from power nonlinearity in many aspects. For instance, there is scaling invariant on the eigenvalue problem of NLS equations with power nonlinearity but neither square root nor saturable nonlinearity can give such a property. In this lecture, I’ll introduce some problems and results of NLS equations with square root and saturable nonlinearities.

Colloquium

DATE	2016-11-24　16:10-17:00

PLACE	數學館3174教室

SPEAKER	林太家教授（台灣大學數學系）

TITLE	Nonlinear Schrödinger Equations with Square Root and Saturable Nonlinearities

ABSTRACT	Nonlinear Schrodinger (NLS) equations with square root and saturable nonlinearities are well-known models to describe photorefractive mediums in nonlinear optics. Mathematically, such nonlinearities are different from power nonlinearity in many aspects. For instance, there is scaling invariant on the eigenvalue problem of NLS equations with power nonlinearity but neither square root nor saturable nonlinearity can give such a property. In this lecture, I’ll introduce some problems and results of NLS equations with square root and saturable nonlinearities.