Equivalence of ordinary differential equations \(y = R(x, y)y^{\prime 2} + 2Q(x, y)y' +P(x, y)\)

DOI10.1134/S0012266107050035zbMath1170.34320OpenAlexW1967913580MaRDI QIDQ2480464

Yulia Yurievna Bagderina

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266107050035

zbMATH Keywords

equivalenceinvariantsordinary differential equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (7)

Open problems for Painlevé equations ⋮ Derivation of asymptotic dynamical systems with partial Lie symmetry groups ⋮ Equivalence of Third‐Order Ordinary Differential Equations to Chazy Equations I–XIII ⋮ Invariants and symmetries of second-order ordinary differential equations of nonprojective type ⋮ Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity ⋮ Equivalence of second-order ordinary differential equations to Painlevé equations ⋮ ``Painlevé 34 equation: equivalence test

Cites Work

• The local equivalence problem for \(d^ 2y/dx^ 2=F(x,y,dy/dx)\) and the Painlevé transcendents
• Projective differential geometrical structure of the Painlevé equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• On the theory of water waves
• Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Invariant and Partially Invariant Solutions of the Green-Naghdi Equations
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