THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS

DOI10.11948/2156-907X.20190095zbMath1479.35707OpenAlexW2947160777MaRDI QIDQ5859394

Chun Xiao Guo, Bo-ling Guo

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2156-907x.20190095

zbMATH Keywords

Galerkin methodinitial boundary value problemfourth-order nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (3)

Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion ⋮ GLOBAL SMOOTH SOLUTION FOR THE COMPRESSIBLE LANDAU-LIFSHITZ-BLOCH EQUATION ⋮ Soliton solutions for two kinds of fourth-order nonlinear nonlocal Schrödinger equations

Cites Work

• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• Global existence of solutions for a fourth-order nonlinear Schrödinger equation
• The Cauchy problem for the fourth-order nonlinear Schrödinger equation related to the vortex filament
• Self-Focusing with Fourth-Order Dispersion
• Evolution theorem for a class of perturbed envelope soliton solutions
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