The thermal onset of nanoparticles is quite impressive and dynamical and subsequently
report significance in the thermal systems, heat transfer enhancement, engineering …

We present a brief overview of classical isochronous planar differential systems focusing
mainly on the second equation of the Liénard type ẍ+ f (x) ẋ2+ g (x)= 0. In view of the close …

The two-dimensional inverse problem for first-order systems is analysed and a method to
construct an affine Lagrangian for such systems is developed. The determination of such …

In this work, we study the physics of plasma waves and magnetohydrodynamic (MHD)
equilibrium of sunspots based on the concept of non-standard Lagrangians which play an …

Lagrangian formalism is established for differential equations with special functions of
mathematical physics as solutions. Formalism is based on either standard or non-standard …

The space of null Lagrangians is the least investigated territory in dynamics as these
Lagrangians are identically sent to zero by their Euler–Lagrange operator, and thereby they …

We study a family of Liénard-type equations. Such equations are used for the description of
various processes in physics, mechanics and biology and also appear as travelingwave …

Using a novel transformation involving the Jacobi Last Multiplier (JLM) we derive an old
integrability criterion due to Chiellini for the Li\'enard equation. By combining the Chiellini …

For nth order ordinary differential equations, it is studied the role of a Jacobi last multiplier
(JLM) in the reduction processes that arise from the existence of either ak parametric …

Regular perturbative Lagrangians that admit approximate Noether symmetries and
approximate conservation laws are studied. Specifically, we investigate the connection …