The N -soliton solution of the Benjamin-Ono equation

DOI10.1073/pnas.75.8.3562zbMath0449.35085OpenAlexW2092085391WikidataQ37591591 ScholiaQ37591591MaRDI QIDQ3895942

K. M. Case

Publication date: 1978

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.75.8.3562

zbMATH Keywords

Benjamin-Ono equationN-soliton solution

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (16)

Biographical Memoir of Ken Case ⋮ Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited ⋮ Dynamics of Complex Singularities of Nonlinear PDEs ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles ⋮ New integrable nonlinear integrodifferential equations and related solvable finite-dimensional dynamical systems ⋮ Linear stability of multiple internal solitary waves in fluids of great depth ⋮ Properties of the Benjamin–Ono equation ⋮ IST Versus PDE: A Comparative Study ⋮ Computation of time-periodic solutions of the Benjamin-Ono equation ⋮ Forced nonlinear disturbances in incompressible boundary layers ⋮ Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential ⋮ Integrability, conservation laws and solitons of a many-body dynamical system associated with the half-wave maps equation ⋮ The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems ⋮ Lie symmetries of Benjamin-Ono equation

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