Accession Number : ADA141519

Title :   Nonlinear Partial Differential Equations and Related Problems of Pade Approximations.

Descriptive Note : Progress rept. 30 Jun 82-29 Jun 83,

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF MATHEMATICS

Personal Author(s) : Chudnovsky,D V ; Chudnovsky,G V

PDF Url : ADA141519

Report Date : Dec 1983

Pagination or Media Count : 15

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)

Descriptors :   *Nonlinear differential equations, *Partial differential equations, *Approximation(Mathematics), Transformations(Mathematics), S matrix, Linear differential equations, Integrated systems

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE