134 citations · 1.9k across the 106 of their papers we have counts for
5 papers · 1 filter
On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator
V Chithiika Ruby, M Senthilvelan
We construct nonlinear coherent states or f-deformed coherent states for a nonpolynomial nonlinear oscillator which can be considered as placed in the middle between the harmonic o…
A systematic method of finding linearizing transformations for nonlinear ordinary differential equations: I. Scalar case
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
In this set of papers we formulate a stand alone method to derive maximal number of linearizing transformations for nonlinear ordinary differential equations (ODEs) of any order in…
A nonlocal connection between certain linear and nonlinear ordinary differential equations : Extension to coupled equations
R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan +1
Identifying integrable coupled nonlinear ordinary differential equations (ODEs) of dissipative type and deducing their general solutions are some of the challenging tasks in nonlin…
On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential
V Chithiika Ruby, M Senthilvelan
In this paper, we propose an algorithm to construct coherent states for an exactly solvable position dependent mass Schrödinger equation. We use point canonical transformation meth…
On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system
R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan +1
In this paper, we consider a second order nonlinear ordinary differential equation of the form , where …