Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity

DOI10.1016/j.aim.2024.109769zbMath1547.37091MaRDI QIDQ6562870

Meisen Chen, En-gui Fan, Jing-Song He

Publication date: 27 June 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemlong-time asymptoticsinverse spectral methoddefocusing Ablowitz-Ladik system\( \overline{\partial} \)-Riemann-Hilbert problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Lattice dynamics; integrable lattice equations (37K60)

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