Direct Scattering for the Benjamin-Ono Equation with Rational Initial Data

DOI10.1111/sapm.12101zbMath1346.35163arXiv1504.07610OpenAlexW2963385064MaRDI QIDQ2816384

Peter D. Miller, Alfredo N. Wetzel

Publication date: 22 August 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07610

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Scattering theory for PDEs (35P25) Stratification effects in inviscid fluids (76B70)

Related Items (7)

Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited ⋮ 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 ⋮ Jost Solutions and the Direct Scattering Problem of the Benjamin--Ono Equation ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin–Ono equation ⋮ Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part I

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• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
• The Inverse Scattering Transform for the Benjamin–Ono Equation
• Internal waves of permanent form in fluids of great depth
• Solitary internal waves in deep water

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