The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptotics

DOI10.1016/j.jde.2023.10.019arXiv2208.08030MaRDI QIDQ6140123

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Publication date: 19 January 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08030

zbMATH Keywords

Riemann-Hilbert problemCamassa-Holm equationPainlevé II equationlong time asymptotics\( \overline{\partial} \)-steepest descent method

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

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