Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities

DOI10.3934/cpaa.2022063zbMath1501.35347OpenAlexW4226264467MaRDI QIDQ2087541

Ronaldo Pes, Cezar I. Kondo

Publication date: 21 October 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022063

zbMATH Keywords

well-posednessKdV equationBourgain spacesmultilinear estimatesKawahara equationanalytic Gevrey spaces

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Unnamed Item
• The spaces \(L^ p\), with mixed norm
• Gevrey regularity for a class of water-wave models
• A model system for strong interaction between internal solitary waves
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• On the Cauchy problem for the Zakharov system
• Global well-posedness for a coupled modified KdV system
• Well-posedness for a coupled system of Kawahara/KdV type equations
• Sharp well-posedness for a coupled system of mKDV-type equations
• Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities
• Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory
• Weak and Strong Interactions between Internal Solitary Waves
• Stability and instability of solitary waves for a nonlinear dispersive system
• Introduction to nonlinear dispersive equations

This page was built for publication: Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities