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20102024
most citedOn one of methods for finding exact solutions of nonlinear differential equations

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math.CA2019

Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations

Dmitry I. Sinelshchikov, Ilia Yu. Gaiur, Nikolay A. Kudryashov

We consider a family of non-autonomous second-order differential equations, which generalizes the Liénard equation. We explicitly find the necessary and sufficient conditions for m…