Supervisors: Martijn de Sterke, Andrea Blanco Redondo
Institution: University of Sydney
A research project done as part of the Talented Student Program at the University of Sydney. This paper is the core thing this project is planning to explore.
The goal of this project is to produce a numerical, soliton-like solution for the differential equation:
\frac{\partial A}{\partial z} =
i \frac{\beta_4}{24} \frac{\partial^4 A}{\partial t^4} +
i \gamma_{eff} {\left|A\right|}^{2} AThis is much harder than it sounds, since it essentially resolves to being a boundary value problem with 8 real parameters (4 complex parameters), but it can be reduced to 3 real parameters through a bunch of clever tricks. Similarly, the search can be constrained using further tricks. And finally, it all boils down to a bruteforce of the search space.
This project is licensed under the GNU General Public License, version 3 or later.
Copyright (C) 2016 Aleksa Sarai
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
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