An explicit formula for the Benjamin-Ono equation
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Publication:6086127
DOI10.2140/tunis.2023.5.593arXiv2212.03139MaRDI QIDQ6086127
Publication date: 9 November 2023
Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.03139
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) PDEs on manifolds (35R01)
Cites Work
- Sur quelques généralisations de l'équation de Korteweg-de Vries
- A Lax pair structure for the half-wave maps equation
- The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
- Nonlinear dispersive equations. Inverse scattering and PDE methods
- Complete integrability of the Benjamin-Ono equation on the multi-soliton manifolds
- Spin generalizations of the Benjamin-Ono equation
- Simplicity and Finiteness of Discrete Spectrum of the Benjamin--Ono Scattering Operator
- Algebraic Solitary Waves in Stratified Fluids
- The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
- Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation
- On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus
- An explicit formula for the cubic Szegő equation
- Internal waves of permanent form in fluids of great depth
- Solitary internal waves in deep water
