Nonlinear Partial Differential Equations and Related Problems of Pade Approximations.

Abstract

During the period of the grant the investigators continued their studies of one-four dimensional classical and quantum lattice and continuous completely integrable systems. Their technique is based on the method of Backlund transformations and their algebraic, geometric and arithmetic properties. Methods of Backlund transformations were successfully used in the study of Pade approximations. One of the significant achievements during the last year was the solution of the key problem on the almost perfectness of Pade approximations to solutions of linear differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA141519

Entities

People

  • D. V. Chudnovsky
  • G. V. Chudnovsky

Organizations

  • Columbia University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algebra
  • Algebraic Functions
  • Algebraic Geometry
  • Classification
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Four Dimensional
  • Geometry
  • Linear Differential Equations
  • Mathematics
  • New York
  • Partial Differential Equations
  • Rational Functions
  • Security
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.
  • Technical Research and Report Writing.

Technology Areas

  • Quantum Computing