Classification of Lie point symmetries for quadratic Liénard type equation ẍ+f(x)ẋ2+g(x)=0
AK Tiwari, SN Pandey, M Senthilvelan… - Journal of …, 2013 - pubs.aip.org
Classification of Lie point symmetries for quadratic Liénard type equation |$\ddot{x}+f(x)\dot{x}^2+g(x)=0$|ẍ+f(x)ẋ2+g(x)=0
| Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text …
| Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text …
New exact solutions for a generalised Burgers-Fisher equation
New travelling wave solutions for a generalised Burgers-Fisher (GBF) equation are
obtained. They arise from the solutions of nonlinear second-order equations that can be …
obtained. They arise from the solutions of nonlinear second-order equations that can be …
Classifying algebraic invariants and algebraically invariant solutions
MV Demina - Chaos, Solitons & Fractals, 2020 - Elsevier
A concept of algebraic invariants and algebraically invariant solutions for autonomous
ordinary differential equations and systems of autonomous ordinary differential equations is …
ordinary differential equations and systems of autonomous ordinary differential equations is …
Nonlocal symmetries, telescopic vector fields and λ-symmetries of ordinary differential equations
C Muriel, JL Romero - SIGMA. Symmetry, Integrability and Geometry …, 2012 - emis.de
This paper studies relationships between the order reductions of ordinary differential
equations derived by the existence of λ-symmetries, telescopic vector fields and some …
equations derived by the existence of λ-symmetries, telescopic vector fields and some …
C∞-symmetries of distributions and integrability
An extension of the notion of solvable structure for involutive distributions of vector fields is
introduced. It is based on a generalization of the concept of symmetry of a distribution of …
introduced. It is based on a generalization of the concept of symmetry of a distribution of …
Second-Order Ordinary Differential Equations and First Integrals of The Form A(t, x) ẋ + B(t, x)
C Muriel, JL Romero - Journal of Nonlinear Mathematical Physics, 2009 - Springer
We characterize the equations in the class A of the second-order ordinary differential
equations ẍ= M (t, x, ẋ) which have first integrals of the form A (t, x) ẋ+ B (t, x). We give an …
equations ẍ= M (t, x, ẋ) which have first integrals of the form A (t, x) ẋ+ B (t, x). We give an …
On the complete integrability of a nonlinear oscillator from group theoretical perspective
A Bhuvaneswari, VK Chandrasekar… - Journal of …, 2012 - pubs.aip.org
In this paper, we investigate the integrability aspects of a physically important nonlinear
oscillator which lacks sufficient number of Lie point symmetries but can be integrated by …
oscillator which lacks sufficient number of Lie point symmetries but can be integrated by …
On the integrability of Liénard I-type equations via λ-symmetries and solvable structures
For Liénard I-type equations it is proved the existence of a family of λ− symmetries such that
any of them lets the computation by quadratures of a time-dependent first integral of the …
any of them lets the computation by quadratures of a time-dependent first integral of the …
-Symmetries and integrability by quadratures
It is investigated how two (standard or generalized)-symmetries of a given second-order
ordinary differential equation can be used to solve the equation by quadratures. The method …
ordinary differential equation can be used to solve the equation by quadratures. The method …
Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations
R Mohanasubha, VK Chandrasekar… - … of the Royal …, 2014 - royalsocietypublishing.org
In this work, we establish a connection between the extended Prelle–Singer procedure with
five other analytical methods which are widely used to identify integrable systems in the …
five other analytical methods which are widely used to identify integrable systems in the …