Conditional linearizability criteria for a system of third-order ordinary differential equations

Abstract

We provide linearizability criteria for a class of systems of third-order ordinary differential equations (ODEs) that is cubically semi-linear in the first derivative, by differentiating a system of second-order quadratically semi-linear ODEs and using the original system to replace the second derivative. The procedure developed splits into two cases, those where the coefficients are constant and those where they are variables. Both cases are discussed and examples given.

References in corpus (1)

• Invariant Linearization Criteria for Systems of Cubically Semi-Linear Second-Order Ordinary Differential Equations

Cited by in corpus (7)

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• Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations
• Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms
• $\lambda$-symmetry criteria for linearization of second order ODEs via point transformations
• Linearizability Criteria for a Class of Third Order Semi-Linear ODEs
• Higher Dimensional Systems of Differential Equations Obtained by Iterative Use of Complex Methods