@Article{CiCP-5-2-4,
author = {},
title = {Numerical Calculation of Monotonicity Properties of the Blow-Up Time of NLS},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {745--759},
abstract = {<p style="text-align: justify;">We investigate blow-up of the focusing nonlinear Schr ¨odinger equation, in
the critical and supercritical cases. Numerical simulations are performed to examine
the dependence of the time at which blow-up occurs on properties of the data or the
equation. Three cases are considered: dependence on the scale of the nonlinearity
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; and dependence
upon a damping factor when the initial data are fixed. In most of these situations,
monotonicity in the evolution of the blow-up time does not occur.</p>},
issn = {1991-7120},
doi = {https://doi.org/2009-CiCP-7761},
url = {https://global-sci.com/article/81113/numerical-calculation-of-monotonicity-properties-of-the-blow-up-time-of-nls}
}