Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (5)
- Authors
- Kaptsov, Oleg V.
- Contact information
- Kaptsovб, Oleg V.: Institute of Computational Modelling SD RAS Academgorodok, 50/44, Krasnoyarsk, 660036 Russia; ; Капцов, Олег В.: Институт вычислительного моделирования СО РАН Академгородок, 50/44, Красноярск, 660036 Россия
- Keywords
- differential constraints; defining equations; invariant manifolds
- Abstract
A method for constructing solutions of nonlinear partial differential equations with two independent variables is proposed. The method is based on the search for so-called intermediate systems, each solution of which satisfies the initial equation. The main attention is paid to a second order nonlinear wave equation. We give examples of intermediate systems and corresponding solutions.
- Pages
- 550–560
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/72078
Journal of Siberian Federal University. Mathematics & Physics / Intermediate Systems and Higher-Order Differential Constraints
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