Global well-posedness of the initial value problem for the Hirota-Satsuma system

DOI10.1007/BF02567462zbMath0809.35103MaRDI QIDQ1340662

Xue-Shang Feng

Publication date: 29 January 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155996

zbMATH Keywords

existenceuniquenessa priori estimatesKato's theorypersistence propertyharmonic analysis techniques

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Smoothing and global attractors for the Hirota-Satsuma system on the torus, Exact soliton solutions of some nonlinear physical models, On the local well-posedness for some systems of coupled KdV equations, Exact traveling wave solutions of some nonlinear physical models. II: Coupled KdV type equations, New explicit and exact travelling wave solutions for a system of dispersive long wave equations, Explicit solutions to three nonlinear physical models, Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation, Local well-posedness of the coupled KdV-KdV systems on \(\mathbb{R}\)

Cites Work

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• Weakly Differentiable Functions
• The initial-value problem for the Korteweg-de Vries equation