Properties of the Benjamin–Ono equation

DOI10.1063/1.524145zbMath0427.35061OpenAlexW2075687909MaRDI QIDQ3862526

K. M. Case

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524145

zbMATH Keywords

Benjamin-Ono equationdifferential integral equationcompletely integrable Hamiltonian system

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Hamilton's equations (70H05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Long time behavior for the equation of finite-depth fluids, On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid, Constraints of the Kadomtsev–Petviashvili hierarchy, Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE, A conjecture about Bäcklund transformations, Nonlocal models for nonlinear, dispersive waves, Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation, Statistical equilibrium of the Korteweg–de Vries and Benjamin–Ono unidirectional soliton models, IST Versus PDE: A Comparative Study, Computation of time-periodic solutions of the Benjamin-Ono equation, The Benjamin-Ono and related equations. I, A numerical method for the Benjamin-Ono equation, Statistical mechanics of the periodic Benjamin–Ono equation, Unnamed Item

Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations
• Algebraic Solitary Waves in Stratified Fluids
• The N -soliton solution of the Benjamin-Ono equation
• Periodic solutions of the KdV equation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• Integrals of nonlinear equations of evolution and solitary waves