On the local well-posedness for some systems of coupled KdV equations

DOI10.1016/j.na.2007.06.009zbMath1168.35421arXiv0705.0482OpenAlexW1993896434MaRDI QIDQ939432

Borys Alvarez-Samaniego, Xavier Carvajal

Publication date: 22 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0482

zbMATH Keywords

KdV equationGear-Grimshaw systemHirota-Satsuma system

Mathematics Subject Classification ID

Related Items (10)

Local well-posedness for a class of 1D Boussinesq systems ⋮ Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities ⋮ Nonlinear stability of periodic-wave solutions for systems of dispersive equations ⋮ Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up ⋮ Smoothing and global attractors for the Hirota-Satsuma system on the torus ⋮ Well-posedness and critical index set of the Cauchy problem for the coupled KdV-KdV systems on \(\mathbb{T}\) ⋮ On long-time behavior for solutions of the Gear-Grimshaw system ⋮ Stability of solitary-wave solutions of systems of dispersive equations ⋮ Local well-posedness of the coupled KdV-KdV systems on \(\mathbb{R}\) ⋮ A remark on the local well-posedness for a coupled system of mKdV type equations in H^s × H^k

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