Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (17)

Sundman transformation and alternative tangent structures ⋮ Integrable nonautonomous Liénard-type equations ⋮ New exact solutions for a generalised Burgers-Fisher equation ⋮ A note on deriving linearizing transformations for a class of second order nonlinear ordinary differential equations ⋮ Infinitesimal time reparametrisation and its applications ⋮ On the connection of the quadratic Liénard equation with an equation for the elliptic functions ⋮ Lie group approach for constructing all reciprocal transformations: The two‐dimensional stationary gas dynamics equations ⋮ Linearizabiliy and Lax representations for cubic autonomous and non-autonomous nonlinear oscillators ⋮ On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations ⋮ On connections of the Liénard equation with some equations of Painlevé-Gambier type ⋮ On first integrals of second-order ordinary differential equations ⋮ Unnamed Item ⋮ On the integrability of Liénard i-type equations via \(\lambda \)-symmetries and solvable structures ⋮ On the integrability conditions for a family of Liénard-type equations ⋮ Exact solutions and Riccati-type first integrals ⋮ Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations ⋮ On the criteria for integrability of the Liénard equation

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