Soliton resolution for the short-pulse equation

DOI10.1016/j.jde.2021.01.036zbMath1459.35328arXiv2005.12208OpenAlexW3127284495MaRDI QIDQ2656299

Yiling Yang, En-gui Fan

Publication date: 11 March 2021

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

Full work available at URL: https://arxiv.org/abs/2005.12208

zbMATH Keywords

Riemann-Hilbert problemasymptotical stabilityshort pulse equationsoliton resolution\(\overline{\partial}\) steepest descent method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) 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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