| Name |
Dmitry Zezyulin |
| Country |
Portugal |
| Email |
d.zezyulin@gmail.com |
| Co-Author(s) |
J.-P. Dias, M. Figueira, V. V. Konotop |
| Submit Time |
2014-02-20 08:17:41 |
Session |
Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
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| Contents |
| We consider the Cauchy problem for a system of two self-focusing
nonlinear Schr\"odinger equations with linear and nonlinear
coupling. The system is PT symmetric, which means that one of the
equations includes the gain term while another equation accounts
for the damping.
We find sufficient conditions for the finite time blow up in the
supercritical case (three or more spatial dimensions). The proof
is based on the virial technique arguments.
Several other physically relevant particular cases are also
discussed and illustrated numerically. |
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