A \(\bar{\partial}\)-steepest descent method for oscillatory Riemann-Hilbert problems

DOI10.1007/s00332-021-09765-7zbMath1486.37035OpenAlexW4200610782MaRDI QIDQ2062879

Wen-Xiu Ma, Fudong Wang

Publication date: 3 January 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-021-09765-7

zbMATH Keywords

long-time asymptoticsPainlevé II hierarchyMKdV hierarchydbar-steepest descent

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Asymptotic expansions of solutions to PDEs (35C20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy ⋮ Initial-boundary value problems for the two-component complex modified Korteweg-de Vries equation on the interval ⋮ Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions ⋮ Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data

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