Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems

DOI10.1016/j.jmaa.2021.124966zbMath1462.35229OpenAlexW4235173172MaRDI QIDQ1998731

Zhenya Yan, Shu-Yan Chen

Publication date: 8 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.124966

zbMATH Keywords

Riemann-Hilbert problemlong-time asymptoticsnonlinear steepest descent methodcoupled dispersive AB systeminitial-value condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (6)

Long-time asymptotic behavior of the coupled dispersive AB system in low regularity spaces ⋮ Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation ⋮ Multi-bright-dark soliton solutions to the AB system in nonlinear optics ⋮ Breather solutions to the AB system with non-zero background ⋮ Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data ⋮ Whitham modulation theory of the defocusing AB system and its application

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