New conservation forms and Lie algebras of Ermakov-Pinney equation

DOI10.3934/DCDSS.2018046zbMath1385.22009OpenAlexW2766313044MaRDI QIDQ1690365

Özlem Orhan, Teoman Özer

Publication date: 19 January 2018

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018046

zbMATH Keywords

classificationfirst integralinvariant solutionNoether theory\(\lambda\)-symmetryPrelle-Singer methodLagrangian and Hamiltonian description

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Lie algebras of Lie groups (22E60) Kinematics of a particle (70B05)

Related Items (2)

Onμ-symmetries,μ-reductions, andμ-conservation laws of Gardner equation ⋮ On Lie symmetries and soliton solutions of \((2+1)\)-dimensional Bogoyavlenskii equations

Cites Work

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