Lie algebra classification, conservation laws, and invariant solutions for a generalization of the Levinson–Smith equation

G Loaiza, Y Acevedo, OML Duque… - International Journal …, 2021 - Wiley Online Library
We obtain the optimal system's generating operators associated with a generalized
Levinson–Smith equation; this one is related to the Liénard equation which is important for …

Curl forces and their role in optics and ion trapping

P Guha - The European Physical Journal D, 2020 - Springer
The position dependent nonconservative forces are called curl forces introduced recently by
MV Berry, P. Shukla, J. Phys. A 45, 305201 (2012). In this article, we elucidate the role of curl …

Generalized Emden–Fowler equations in noncentral curl forces and first integrals

P Guha - Acta Mechanica, 2020 - Springer
Noncentral force is an exemplary example of curl force and in general this is not an
integrable system. The purpose of this note is twofold. First, we study a different reduction in …

Relativistic formulation of noncentral curl force and relativistic Emden–Fowler type equations

P Guha - Acta Mechanica, 2022 - Springer
In this paper, we formulate a relativistic generalization of noncentral force, and it is a
prototypical example of relativistic curl force. We study reductions of relativistic noncentral …

Saddle in linear curl forces, cofactor systems and holomorphic structure

P Guha - The European Physical Journal Plus, 2018 - Springer
We show the connection between the theory of Hamiltonian curl forces introduced by Berry
and Shukla and the cofactor systems introduced by the Linköping school. The linear curl …

Reconstruction of F (T) gravity in homogeneous backgrounds and a general prescription for reconstructing through scalar field

B Tajahmad - Annals of Physics, 2022 - Elsevier
A technique for the reconstruction of the potential for a scalar field in cosmological models
based on induced gravity has recently been developed by Alexander Y. Kamenshchik …

Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach

B Tajahmad - Journal of High Energy Physics, 2020 - Springer
A bstract In this paper, a modified teleparallel gravity action containing a coupling be-tween
a scalar field potential and magnetism, in anisotropic and homogeneous backgrounds, is …

Relativistic formulation of curl force, relativistic Kapitza equation and trapping

P Guha, S Garai - Nonlinear Dynamics, 2023 - Springer
In this present communication, the relativistic formulation of the curl forces with saddle
potentials has been performed. In particular, we formulated the relativistic version of the …

Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics

S Garai, P Guha - Nonlinear Dynamics, 2021 - Springer
The position-dependent non-conservative forces are called curl forces introduced recently
by Berry and Shukla (J Phys A 45: 305201, 2012). The aim of this paper is to study mainly …

[PDF][PDF] Sistema óptimo, soluciones invariantes y clasificación completa del grupo de simetrías de Lie para la ecuación de Kummer-Schwarz generalizada y su …

DG Hernández, OML Duque, Y Acevedo… - Integración: Temas de …, 2021 - dialnet.unirioja.es
Obtenemos la clasificación completa del grupo de simetría de Lie y los operadores
generadores del sistema optimal asociados a un caso particular de la ecuación de Kummer …