Well-posedness of the Cauchy problem for the coupled system of the Schrödinger-KdV equations

DOI10.1007/BF02650665zbMath0928.35147MaRDI QIDQ1292798

Bo-ling Guo, Chang Xing Miao

Publication date: 12 January 2000

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemglobal well-posednession-acoustic wavesLangmuir oscillationsSchrödinger-KdV equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (7)

Well-posedness for the Schrödinger-Korteweg-de Vries system ⋮ Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass ⋮ On the well-posedness of the Schrödinger-Korteweg-de Vries system ⋮ Solitary waves and a stability analysis of an equation of short and long dispersive waves ⋮ Global existence and uniqueness of the solution for the fractional Schrödinger-KdV-Burgers system ⋮ Recurrent solutions of the Schrödinger-KdV system with boundary forces ⋮ The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line

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• A Strong Type (2,2) Estimate for a Maximal Operator Associated to the Schrodinger Equation
• Dynamics of coupled solitons
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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