Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations

DOI10.1098/rspa.2013.0656zbMath1359.34004arXiv1401.1359OpenAlexW2084322590MaRDI QIDQ2830144

V. K. Chandrasekar, R. Mohanasubha, Muthusamy Lakshmanan, Murugaian Senthilvelan

Publication date: 9 November 2016

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1359

zbMATH Keywords

symmetriesDarboux polynomialsnull formsintegrating factors and Jacobi last multiplier

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

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The inverse problem of a mixed Liénard-type nonlinear oscillator equation from symmetry perspective ⋮ Symmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearity ⋮ Analytical approaches for growth models in economics ⋮ An investigation of solving third-order nonlinear ordinary differential equation in complex domain by generalising Prelle-Singer method ⋮ Classical Noether theory with application to the linearly damped particle ⋮ Simple and collective twisted symmetries ⋮ Application of the extended Fan sub-equation method to time fractional Burgers-Fisher equation ⋮ The Group-Theoretical Analysis of Nonlinear Optimal Control Problems with Hamiltonian Formalism

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