Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests

Details Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests

2006-03-04

arxiv.org/abs/math/0603107v2

Mathematics

Analysis of PDEs

Scientific paper

We consider the focusing nonlinear Schr\"{o}dinger equation, in the $L^2$-critical and supercritical cases. We investigate numerically the dependence of the blow-up time on a parameter in three cases: dependence upon the coupling constant, when the initial data are fixed; dependence upon the strength of a quadratic oscillation in the initial data when the equation and the initial profile are fixed; finally, dependence upon a damping factor when the initial data are fixed. It turns out that in most situations monotonicity in the evolution of the blow-up time does not occur. In the case of quadratic oscillations in the initial data, with critical nonlinearity, monotonicity holds; this is proven analytically.

Affiliated with

Also associated with

No associations

Rating

Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-618910