On the Periodic Intermediate Long Wave Equation.

Abstract

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)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA101850

Entities

People

  • A. S. Fokas
  • Harvey Segur
  • J. Satsuma
  • M. J. Ablowitz

Tags

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Computer Science
  • Differential Equations
  • Equations
  • Fourier Series
  • Integrals
  • Internal Waves
  • Inverse Scattering
  • Mathematics
  • New York
  • Nonlinear Analysis
  • Partial Differential Equations
  • Periodic Functions
  • Personal Information Managers
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis