New non-standard Lagrangians for the Liénard-type equations

DOI10.1016/j.aml.2016.07.028zbMath1356.34045arXiv1608.04926OpenAlexW2477487983MaRDI QIDQ311771

Dmitry I. Sinelshchikov, Nikolay A. Kudryashov

Publication date: 13 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04926

zbMATH Keywords

Lagrangiangeneralized Sundman transformationsLiénard-type equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lagrange's equations (70H03)

Related Items (8)

Sundman transformation and alternative tangent structures ⋮ Conservation laws for systems of non-standard Birkhoffians with fractional derivatives ⋮ Exact solutions to a family of position‐dependent mass damped oscillators from variational λ‐symmetries ⋮ On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations ⋮ Analytic study on triple-s, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber ⋮ On the integrability of the Abel and of the extended Liénard equations ⋮ Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations ⋮ Jacobi multipliers and Hamel’s formalism

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