The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis

DOI10.57262/ade028-0506-413arXiv2203.14830OpenAlexW4322507234WikidataQ117217557 ScholiaQ117217557MaRDI QIDQ6100693

Andrei V. Faminskii

Publication date: 22 June 2023

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14830

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Euler equations (35Q31)

Related Items (2)

Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schrödinger equation ⋮ Inverse problems for the higher order nonlinear Schrödinger equation

Cites Work

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• Decay of solutions to damped Korteweg-de Vries type equation
• Persistence of solutions to higher order nonlinear Schrödinger equation
• Stabilization of the higher order nonlinear Schrödinger equation with constant coefficients
• Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
• Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the generalized Korteweg-de Vries type equations
• A higher-order nonlinear Schrödinger equation with variable coefficients.
• Unique continuation property for a higher order nonlinear Schrödinger equation
• Strichartz estimates for dispersive equations and solvability of the Kawahara equation
• Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation
• Stabilization of higher order Schrödinger equations on a finite interval. I
• Sharp global well-posedness for a higher order Schrödinger equation
• GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION
• THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
• Introduction to nonlinear dispersive equations
• Partial quasianalyticity of distribution solutions of weakly nonlinear differential equations with weights assigned to derivatives

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