Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering,

Abstract

In this lecture a review of some recent results associated with exactly solvable multidimensional nonlinear systems will be given. The motivation for much of this work has come via what is commonly referred to as the Inverse Scattering Transform (I.S.T.; as a reference see, for example,). IST is a method to solve certain nonlinear equations by associating them with appropriate compatible linear equations, one of which is identified as a scattering problem and the others(s) serves to fix the time evolution of the scattering data.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA193274

Entities

People

  • Mark J. Ablowitz

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Differential Geometry
  • Equations
  • Formulas (Mathematics)
  • Geometry
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Inverse Scattering
  • Linear Systems
  • Mathematics
  • Meromorphic Functions
  • Nonlinear Systems
  • Partial Differential Equations
  • Scattering
  • Wave Equations

Readers

  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.