Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity
DOI10.1007/s00028-022-00852-0zbMath1504.35483OpenAlexW4311060822MaRDI QIDQ2108045
Jesus A. Mendez-Navarro, Pavel I. Naumkin, Nakao Hayashi
Publication date: 19 December 2022
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-022-00852-0
higher-order nonlinear Schrödinger equationHartree-type nonlinearitymodified scatteringasymptotics for large time
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
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- Effects of the amplifier location in interchannel soliton collisions in periodic dispersion maps in the presence of third order dispersion
- Dispersive blowup of solutions of generalized Korteweg-de Vries equations
- Dispersive blow-up for nonlinear Schrödinger equations revisited
- Third-order dispersion for generating optical rogue \textit{solitons}
- The initial value problem for the cubic nonlinear Klein-Gordon equation
- Sur quelques généralisations de l'équation de Korteweg-de Vries
- Gain of regularity for equations of KdV type
- On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
- On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension
- A higher-order nonlinear Schrödinger equation with variable coefficients.
- Analysis I. Integral presentations asymptotic methods
- On the (generalized) Korteweg-de Vries equation
- Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
- Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case
- Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension
- Asymptotics for the third-order nonlinear Schrödinger equation in the critical case
- On the inhomogeneous fourth-order nonlinear Schrödinger equation
- GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION
- The L 2 -Boundedness of Pseudodifferential Operators
- Local Smoothing Properties of Dispersive Equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Analyticity of Solutions of the Korteweg–De Vries Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
- A Class of Bounded Pseudo-Differential Operators
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