TY - JOUR
T1 - Numerical Calculation of Monotonicity Properties of the Blow-Up Time of NLS
JO - Communications in Computational Physics
VL - 2-4
SP - 745
EP - 759
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7761.html
KW - 
AB - <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>