Abstract
We use asymptotic analysis and numerical simulations to study peak-type singular solutions of the supercritical biharmonic nonlinear Schrödinger equation. These solutions have a quartic-root blowup rate, and collapse with a quasi-self-similar universal profile, which is a zero-Hamiltonian solution of a fourth-order nonlinear eigenvalue problem.
| Original language | English |
|---|---|
| Pages (from-to) | 1843-1859 |
| Number of pages | 17 |
| Journal | Nonlinearity |
| Volume | 24 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2011 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics