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2017 First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry
J. C. Ndogmo
J. Appl. Math. 2017: 1-9 (2017). DOI: 10.1155/2017/7302081

Abstract

Complete sets of linearly independent first integrals are found for the most general form of linear equations of maximal symmetry algebra of order ranging from two to eight. The corresponding Hamiltonian systems are constructed and it is shown that their general solutions can also be found by a simple superposition formula from the solutions of a scalar second-order source equation.

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J. C. Ndogmo. "First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry." J. Appl. Math. 2017 1 - 9, 2017. https://doi.org/10.1155/2017/7302081

Information

Received: 5 December 2016; Revised: 12 January 2017; Accepted: 22 January 2017; Published: 2017
First available in Project Euclid: 12 April 2017

zbMATH: 07037486
MathSciNet: MR3614327
Digital Object Identifier: 10.1155/2017/7302081

Rights: Copyright © 2017 Hindawi

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