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Intermediate systems and higher-order differential constraints
Oleg V. Kaptsov Institute of Computational Modelling SD RAS,
Academgorodok, 50/44, Krasnoyarsk, 660036,
Russia
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.
Keywords:
differential constraints, defining equations, invariant manifolds.
Received: 10.03.2018 Received in revised form: 20.04.2018 Accepted: 06.06.2018
Citation:
Oleg V. Kaptsov, “Intermediate systems and higher-order differential constraints”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 550–560
Linking options:
https://www.mathnet.ru/eng/jsfu701 https://www.mathnet.ru/eng/jsfu/v11/i5/p550
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Statistics & downloads: |
Abstract page: | 143 | Full-text PDF : | 73 | References: | 26 |
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