NYZhNYK I. Time Domain analysis of Solutions of Some Nonlinear Lattices

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U001477

Thesis Registration Form

0499U001477.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

15-06-1999

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The thesis is devoted to construction and investigation of stable solutions of nonlinear lattices with cubic nonlinearity. System of two coupled Chua oscillators are considered in details. Effective algorithm of construction of some solutions according to their skeletons is given. Difference scheme for nonlinear wave equation is obtained. This scheme is stable for a long period of time with the high order of accuracy. The solitons coordinates are defined for the Korteweg-de Vries equation. Solitons attraction law is obtained.

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