Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy
DOI10.1137/21M1448008zbMath1506.37088arXiv2111.10924OpenAlexW3217098863WikidataQ114073969 ScholiaQ114073969MaRDI QIDQ5038510
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Publication date: 7 October 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.10924
long-time asymptoticsRiemann-Hilbert problemsnonlinear steepest descent methodmodified Korteweg-de Vries hierarchyPainlevé II transcendents
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) 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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