Note on Solutions to a Class of Nonlinear Singular Integro-Differential Equations,

Abstract

In recent years considerable interest has focused on certain physically important nonlinear evolution equations which can be linearized. Many of these equations fall into the category of linearization via soliton theory and the Inverse Scattering Transform (IST). Well-known equations are the Korteweg-deVries Equation (KdV), the sine-Gordon equation, and the Kadomtsev-Petviashvili (KP) equation. Each of these equations has certain singular integro-differential analogs, the best known being the so-called Benjamin-Ono equation.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1986
Accession Number
ADA193272

Entities

People

  • A. S. Fokas
  • M. D. Kruskal
  • M. J. Ablowitz

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Determinants (Mathematics)
  • Differential Equations
  • Equations
  • Fluid Flow
  • Inverse Scattering
  • Mathematics
  • Military Research
  • New York
  • Personal Information Managers
  • Scattering
  • Scientific Research
  • Universities

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Naval Personnel Management