Studies in Nonlinear Motion.

Abstract

The most important result of this research has been the development of exploitation of the connection between nonlinear evolution equations solvable by some Inverse Scattering Transform (IST) and ordinary differential equations of Painleve-type. This connection provides a test (or series of tests) which a given evolution equation must pass if it is solvable by IST. Being a necessary condition, it complements the various sufficient conditions that already were known. Independently, the connection also can be used to obtain global information about the classical Painleve transcendents. This information becomes increasingly important as these equations are discovered more and more frequently in models of physical problems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA095559

Entities

People

  • Harvey Segur

Tags

DTIC Thesaurus Topics

  • Classification
  • Contracts
  • Differential Equations
  • Equations
  • Inverse Scattering
  • Military Research
  • New Jersey
  • Partial Differential Equations
  • Personal Information Managers
  • Scattering
  • Security
  • Thermodynamic Properties

Readers

  • Aerospace Test and Evaluation
  • Defense Technology Research and Development.
  • Wave Propagation and Nonlinear Chaotic Dynamics.