Singular solutions of the L^2-supercritical biharmonic Nonlinear Schrodinger equation

Details Singular solutions of the L^2-supercritical biharmonic Nonlinear Schrodinger equation Singular solutions of the L^2-supercritical biharmonic Nonlinear Schrodinger equation

2010-11-24

arxiv.org/abs/1011.5522v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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