Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schr dinger equation
Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schr dinger equation
We establish the existence and local uniqueness of two classes of multi-bump, self-similar, blowup solutions for the cubic nonlinear Schrödinger equation close to the critical dimension d = 2. Our results for one class of orbits build on the earlier discovery of these orbits via numerical simulation and via asymptotic …