The Cauchy problem of the Schrödinger-Korteweg-de Vries system.

zbMath1240.35528arXiv0910.4653MaRDI QIDQ636909

Yifei Wu

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4653

zbMATH Keywords

Cauchy problemwell posednessSchrödinger-Korteweg-de Vries system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (9)

Global well-posedness for the cubic fractional NLS on the unit disk ⋮ Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass ⋮ Global well-posedness for the nonlinear wave equation with a cubic nonlinearity in two space dimensions ⋮ Exponential decay for the KdV equation on ℝ with new localized dampings ⋮ Global attractor for weakly damped gKdV equations in higher Sobolev spaces ⋮ Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ Unnamed Item ⋮ The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line ⋮ On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System

This page was built for publication: The Cauchy problem of the Schrödinger-Korteweg-de Vries system.