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

• Дата: 2001
• Автори: Brzychczy, S., Prykarpatsky, A. K., Samoilenko, V. G., Брзічцзі, С., Прикарпатський, А. К., Самойленко, В. Г.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4237
• Назва журналу: 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...