Singular solutions of the L2-supercritical biharmonic nonlinear Schrödinger equation

G. Baruch; G. Fibich

doi:10.1088/0951-7715/24/6/009

Singular solutions of the L²-supercritical biharmonic nonlinear Schrödinger equation

G. Baruch, G. Fibich

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1843-1859
Number of pages	17
Journal	Nonlinearity
Volume	24
Issue number	6
DOIs	https://doi.org/10.1088/0951-7715/24/6/009
State	Published - Jun 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/24/6/009

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title = "Singular solutions of the L2-supercritical biharmonic nonlinear Schr{\"o}dinger equation",

abstract = "We use asymptotic analysis and numerical simulations to study peak-type singular solutions of the supercritical biharmonic nonlinear Schr{\"o}dinger 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.",

author = "G. Baruch and G. Fibich",

year = "2011",

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AU - Fibich, G.

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AB - 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.

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DO - 10.1088/0951-7715/24/6/009

M3 - مقالة

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EP - 1859

JO - Nonlinearity

JF - Nonlinearity

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ER -

Singular solutions of the L²-supercritical biharmonic nonlinear Schrödinger equation

Abstract

All Science Journal Classification (ASJC) codes

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