13 citations · 33 across the 12 of their papers we have counts for
13 papers
Emergence of the Gambier equation in cosmology
D. Batic, P. Guha, A. Ghose Choudhury
We show how the Gambier equation arises in connection to Friedmann-Lema$\mbox{î}$tre-Robertson-Walker (FLRW) cosmology and a Dark Matter equation of state. Moreover, we provide a c…
Branched Hamiltonians and time translation symmetry breaking in equations of the Lienard type
A Ghose-Choudhury, Partha Guha
Shapere and Wilczek ( Phys. Rev. Lett. 109, 160402 and 200402 (2012)) have recently described certain singular Lagrangian systems which display spontaneous breaking of time transla…
Bäcklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models
Kumar Abhinav, A Ghose Choudhury, Partha Guha
In this paper we study a non-linear partial differential equation (PDE), proposed by N. Kudryashov [arXiv:1611.06813v1[nlin.SI]], using continuum limit approximation of mixed Fermi…
Quadratically damped oscillators with non-linear restoring force
Ankan Pandey, A Ghose Choudhury, Partha Guha
In this paper we qualitatively analyse quadratically damped oscillators with non-linear restoring force. In particular, we obtain Hamiltonian structure and analytical form of the e…
Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation
A. Ghose Choudhury, Partha Guha
Using a novel transformation involving the Jacobi Last Multiplier (JLM) we derive an old integrability criterion due to Chiellini for the Liénard equation. By combining the Chielli…
Generalized damped Milne-Pinney equation and Chiellini method
Supriya Mukherjee, A. Ghose Choudhury, Partha Guha
We adopt the Chiellini integrability method to find the solutions of various generalizations of the damped Milne-Pinney equations. In particular, we find the solution of the damped…