A priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity

DOI10.11948/20220538MaRDI QIDQ6612507

Mingjuan Chen, Min Jie Shan

Publication date: 30 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesLax pairsharp global well-posednessfifth-order modified KdV equations

Mathematics Subject Classification ID

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

Cites Work

• Title not available (Why is that?)
• Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\)
• KdV is well-posed in \(H^{-1}\)
• Low regularity conservation laws for integrable PDE
• An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher orders
• Bilinearization of nonlinear evolution equations. II: Higher-order modified Korteweg-de Vries equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces
• Well-posedness and ill-posedness of the fifth order modifed KdV equation
• A Priori Estimates for the Derivative Nonlinear Schrödinger Equation

Related Items (2)

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation ⋮ Long-time asymptotics of solution for the fifth-order modified KdV equation in the presence of discrete spectrum

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