On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus

DOI10.1016/j.jfa.2020.108762zbMath1452.37070arXiv2006.11864OpenAlexW3084066998MaRDI QIDQ2204354

Yanyan Li

Publication date: 15 October 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11864

zbMATH Keywords

Benjamin-Ono equationmoment mapLax operatorcomplex valued potentials

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (12)

On the Benjamin-Ono equation on \(\mathbb{T}\) and its periodic and quasiperiodic solutions ⋮ Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators ⋮ Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited ⋮ Crime pays; homogenization for long times ⋮ Complete integrability of the Benjamin-Ono equation on the multi-soliton manifolds ⋮ Spectral theory of the Nazarov-Sklyanin Lax operator ⋮ Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data ⋮ Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations ⋮ On nomalized differentials on spectral curves associated with the sinh-Gordon equation ⋮ A nonlinear Fourier transform for the Benjamin-Ono equation on the torus and applications ⋮ Long time behavior of solutions for a damped Benjamin-Ono equation ⋮ On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications

Cites Work

• Unnamed Item
• Convexity properties of the moment mapping
• The defocusing NLS equation and its normal form
• Algebraic Solitary Waves in Stratified Fluids
• Bäcklund Transform and Conservation Laws of the Benjamin-Ono Equation
• Convexity and Commuting Hamiltonians
• Internal waves of permanent form in fluids of great depth

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