A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity
type: Item
instance of: scholarly article
title: A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity
zbMATH Open document ID: 1476.35104
author: Youjun Deng
author: Fan He
author: Zai-Yun Zhang
author: Zhenhai Liu
author: Limei Li
author: Chuangxia Huang
published in: Journal of Evolution Equations
publication date: 2021-08-10T00:00:00Z
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7380221
zbMATH Keywords: perturbed nonlinear Schrödinger equations
zbMATH Keywords: initial value problem
zbMATH Keywords: existence of a unique local solution
MaRDI profile type: Publication
full work available at URL: s00028-020-00631-9
OpenAlex ID: W3094435505
cites work: Introduction to non-Kerr Law Optical Solitons
cites work: Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media
cites work: THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
cites work: New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
cites work: New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method
cites work: Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
cites work: The modified \(\frac {G \prime}{G}\)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
cites work: Q3779084
cites work: Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
cites work: A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
cites work: Space-time estimates for null gauge forms and nonlinear Schrödinger equations
cites work: The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
cites work: On the derivative nonlinear Schrödinger equation
cites work: Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
cites work: Global well-posedness for Schrödinger equations with derivative
cites work: Low Regularity Global Solutions for the Focusing Mass-Critical NLS in $\mathbb{R}$
cites work: On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations
cites work: Global smooth solution for nonlinear evolution equation of Hirota type
cites work: Q4816648
cites work: Sharp global well-posedness for a higher order Schrödinger equation
cites work: A higher-order nonlinear Schrödinger equation with variable coefficients.
cites work: Unique continuation property for a higher order nonlinear Schrödinger equation
cites work: On uniqueness of solution for a nonlinear Schrödinger-Airy equation
cites work: Q4842792
cites work: Q3974678
cites work: Q3009497
cites work: A bilinear estimate with applications to the KdV equation
cites work: Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space
cites work: Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on \(\mathbb R^2\)
cites work: Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity
cites work: Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index
cites work: Global well-posedness and exponential decay rates for a KdV-Burgers equation with indefinite damping
cites work: Well-posedness of a higher order modified Camassa-Holm equation in spaces of low regularity
cites work: Q4514454
cites work: On the Cauchy problem for a coupled system of third-order nonlinear Schrödinger equations
DOI: 10.1007/S00028-020-00631-9
description: scientific article; zbMATH DE number 7380221