First integrals of difference equations which do not possess a variational formulation

DOI10.1134/S1064562414010360zbMath1297.39011arXiv1307.7585OpenAlexW2594241999MaRDI QIDQ403952

R. V. Kozlov, E. I. Kaptsov, Pavel Winternitz, Vladimir Dorodnitsyn

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7585

zbMATH Keywords

difference equationsfirst integralsthird-order nonlinear ordinary differential equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (4)

Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates ⋮ Computation of infinitesimals for a group action on a multispace of one independent variable ⋮ Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models ⋮ Discrete shallow water equations preserving symmetries and conservation laws

Cites Work

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• Invariance and first integrals of continuous and discrete Hamiltonian equations
• Applications of Lie Groups to Difference Equations
• First integrals of difference Hamiltonian equations
• Direct Construction of Conservation Laws from Field Equations
• Continuous symmetries of Lagrangians and exact solutions of discrete equations
• Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations
• Difference schemes with point symmetries and their numerical tests
• Noether-type theorems for difference equations

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