Singular solutions of the L^2-supercritical biharmonic Nonlinear Schrodinger equation
Analysis of PDEs
2015-05-20 v1
Abstract
We use asymptotic analysis and numerical simulations to study peak-type singular solutions of the supercritical biharmonic NLS. 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.
Cite
@article{arxiv.1011.5522,
title = {Singular solutions of the L^2-supercritical biharmonic Nonlinear Schrodinger equation},
author = {Guy Baruch and Gadi Fibich},
journal= {arXiv preprint arXiv:1011.5522},
year = {2015}
}