Spin generalizations of the Benjamin-Ono equation

DOI10.1007/s11005-022-01540-3zbMath1491.35390arXiv2201.07269OpenAlexW4281691733MaRDI QIDQ2670700

Jonatan Lenells, Edwin Langmann, Bjorn K. Berntson

Publication date: 1 June 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07269

zbMATH Keywords

exact solutionssoliton equationsspin Calogero-Moser systemsBenjamin-Ono-type equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)

Related Items (6)

An explicit formula for the Benjamin-Ono equation ⋮ Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics ⋮ Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation ⋮ Consistency of the Bäcklund transformation for the spin Calogero-Moser system ⋮ A focusing-defocusing intermediate nonlinear Schrödinger system ⋮ The non-chiral intermediate Heisenberg ferromagnet equation

Uses Software

• DLMF

Cites Work

• Solitons in a continuous classical Haldane-Shastry spin chain
• Conformal field theory
• A generalisation of the Calogero-Moser system
• Loop groups, anyons and the Calogero-Sutherland model
• A Lax pair structure for the half-wave maps equation
• On energy-critical half-wave maps into \(\mathbb {S}^2\)
• Integrability, conservation laws and solitons of a many-body dynamical system associated with the half-wave maps equation
• The non-chiral intermediate Heisenberg ferromagnet equation
• Algebraic Solitary Waves in Stratified Fluids
• An application of the inverse scattering transform to the modified intermediate long wave equation
• Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
• The analogue of the Backlund transformation for integrable many-body systems
• Integrability of Calogero-Moser Spin System
• On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus
• Internal waves of permanent form in fluids of great depth
• Integrals of nonlinear equations of evolution and solitary waves
• Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics
• Multisoliton solutions of the matrix KdV equation
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