Finite-Dimensional Reductions of Conservative Dynamical Systems and Numerical Analysis. I

• Date: 2001
• Main Authors: Brzychczy, S., Prykarpatsky, A. K., Samoilenko, V. G., Брзічцзі, С., Прикарпатський, А. К., Самойленко, В. Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4237
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study infinite-dimensional Liouville–Lax integrable nonlinear dynamical systems. For these systems, we consider the problem of finding an appropriate set of initial conditions leading to typical solutions such as solitons and traveling waves. We develop an approach to the solution of this problem...