Accession Number : ADA193272

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

Corporate Author : CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES

Personal Author(s) : Ablowitz, M J ; Fokas, A S ; Kruskal, M D

PDF Url : ADA193272

Report Date : Aug 1986

Pagination or Media Count : 5

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.

Descriptors :   *INTEGRAL EQUATIONS, *NONLINEAR DIFFERENTIAL EQUATIONS, ANALOGS, DIFFERENTIAL EQUATIONS, EVOLUTION(GENERAL), INVERSE SCATTERING, LINEARITY

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE