Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions-Reference-Cited by-同舟云学术

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Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions

Published:2020-07 Issue: Volume:196 Page:111791
ISSN:0362-546X
Container-title:Nonlinear Analysis
language:en
Short-container-title:Nonlinear Analysis

Author:

Feng Binhua,Liu Jiayin,Niu Huiling,Zhang Binlin

Funder

National Natural Science Foundation of China

NSF of Ningxia Hui Autonomous Region of China

First-Class Disciplines Foundation of Ningxia, China

Introduction and Cultivation Project of Young and Innovative Talents in Universities of Shandong Province

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference58 articles.

1. Singular solutions of the L2-supercritical biharmonic nonlinear Schrödinger equation;Baruch;Nonlinearity,2011

2. Singular solutions of the biharmonic nonlinear Schrödinger equation;Baruch;SIAM J. Appl. Math.,2010

3. Dispersion estimates for fourth order Schrödinger equations;Ben-Artzi;C. R. Acad. Sci. Paris I,2000

4. On stability and instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential;Bensouilah;J. Math. Phys.,2018

5. Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation;Bonheure;SIAM J. Math. Anal.,2018

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multiplicity of normalized solutions to biharmonic Schrödinger equation with mixed nonlinearities;Complex Variables and Elliptic Equations;2024-05-15

2. Instability of single- and double-periodic waves in the fourth-order nonlinear Schrödinger equation;Nonlinear Dynamics;2023-07-26

3. Radial and non-radial multiple solutions to a general mixed dispersion NLS equation;Nonlinearity;2023-02-06

4. Normalized solutions for the mixed dispersion nonlinear Schrödinger equations with four types of potentials and mass subcritical growth;Electronic Research Archive;2023

5. Strong Instability of Standing Wave Solutions for the Nonlinear Schrodinger Equation with Mixed Nonlinearities;Pure Mathematics;2023

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