195 citations · 1.8k across the 115 of their papers we have counts for
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A Simple and Unified Approach to Identify Integrable Nonlinear Oscillators and Systems
V. K. Chandrasekar, S. N. Pandey, M. Senthilvelan +1
In this paper, we consider a generalized second order nonlinear ordinary differential equation of the form , where …
A unification in the theory of linearization of second order nonlinear ordinary differential equations
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
In this letter, we introduce a new generalized linearizing transformation (GLT) for second order nonlinear ordinary differential equations (SNODEs). The well known invertible point…
On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduc…
Extended Prelle-Singer Method and Integrability/Solvability of a Class of Nonlinear th Order Ordinary Differential Equations
V K Chandrasekar, M Senthilvelan, M Lakshmanan
We discuss a method of solving order scalar ordinary differential equations by extending the ideas based on the Prelle-Singer (PS) procedure for second order ordinary diff…