Threshold of damped critical non-linear Schrödinger equation with fourth-order dispersion

DOI10.1080/00036810802261008zbMath1215.78015OpenAlexW1971887759MaRDI QIDQ3532648

Guanggan Chen, Yunyun Wei

Publication date: 28 October 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802261008

zbMATH Keywords

fourth-order dispersiondamped critical non-linear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• Stability and instability of fourth-order solitary waves
• Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• Self-Focusing in the Damped Nonlinear Schrödinger Equation
• Self-Focusing with Fourth-Order Dispersion
• Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations
• Critical exponents and collapse of nonlinear Schr dinger equations with anisotropic fourth-order dispersion
• Stability of attractive Bose-Einstein condensates
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

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