Singular solutions of the L2-supercritical biharmonic nonlinear Schrödinger equation

G. Baruch*, G. Fibich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1843-1859
Number of pages17
JournalNonlinearity
Volume24
Issue number6
DOIs
StatePublished - Jun 2011

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