Properties of the Benjamin–Ono equation
- 1 May 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (5) , 972-977
- https://doi.org/10.1063/1.524145
Abstract
The question is raised as to whether the Benjamin–Ono equation, a nonlinear partial differential integral equation, is a completely integrable Hamiltonian system. The answer is almost certainly ’’yes.’’ Particular solutions suggest the form that general polynomial constants must have. The structure of these and an algorithm to compute them is given. Explicit formulas are given for the first six.Keywords
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