On the periodic intermediate long wave equation
- 1 March 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (3) , 781-786
- https://doi.org/10.1088/0305-4470/15/3/017
Abstract
The authors discuss some properties of a physically interesting nonlinear integro-differential equation with periodic boundary conditions. It is the natural periodic analogue of the intermediate long wave equation, and it provides a periodic analogue of the Benjamin-Ono equation in the appropriate limit. Due to the speciality of the integral operator, the equation admits a Backlund transformation, an infinity of motion constants, etc. Two simple periodic solutions are exhibited. The equation may be transformed into more than one kind of bilinear equation.Keywords
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