Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements

DOI10.1007/s10688-014-0041-4zbMath1307.35179OpenAlexW2092609794MaRDI QIDQ482585

A. M. Budylin, Vladimir S. Buslaev

Publication date: 5 January 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-014-0041-4

zbMATH Keywords

singular integral equationssemiclassical asymptoticsSchrödinger equationoscillatory Riemann-Hilbert problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (2)

Quasiclassical asymptotics for solutions of the matrix conjugation problem with rapid oscillation of off-diagonal entries ⋮ Singular matrix conjugacy problem with rapidly oscillating off-diagonal entries. Asymptotics of the solution in the case when a diagonal entry vanishes at a stationary point

Cites Work

• Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
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