Singular solutions of the L2-supercritical biharmonic nonlinear Schrodinger equation

被引：30

作者：

Baruch, G. ^{[1
]}

Fibich, G. ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

NONLINEARITY | 2011年 / 24卷 / 06期

基金：

以色列科学基金会;

关键词：

GLOBAL WELL-POSEDNESS; 4TH-ORDER;

D O I：

10.1088/0951-7715/24/6/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use asymptotic analysis and numerical simulations to study peak-type singular solutions of the supercritical biharmonic nonlinear Schrodinger 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.

引用

页码：1843 / 1859

页数：17

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