On the Periodic Intermediate Long Wave Equation.
AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC NJ
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We discuss some properties of a certain 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 integral operator, the equation admits a Backlund transformation, an infinity of motion constants, etc. Two simple periodic solutions are exhibited. Finally we note that the equation may be transformed into more than one kind of bilinear equation. Author
- Numerical Mathematics