Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin–Ono equation

DOI10.1090/qam/1566zbMath1467.37062arXiv1901.04089OpenAlexW3009141357MaRDI QIDQ5140702

Alexander Moll

Publication date: 16 December 2020

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04089

zbMATH Keywords

Toeplitz operatorsBaker-Akhiezer functionsperiodic Benjamin-Ono equationNazarov-Sklyanin hierarchySzegő's first theorem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items

Spectral theory of the Nazarov-Sklyanin Lax operator ⋮ Lax Eigenvalues in the Zero-Dispersion Limit for the Benjamin–Ono Equation on the Torus ⋮ Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data ⋮ Exact Bohr-Sommerfeld conditions for the quantum periodic Benjamin-Ono equation

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