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20052022
most citedA Simple and Unified Approach to Identify Integrable Nonlinear Oscillators and Systems

78 citations · 221 across the 14 of their papers we have counts for

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7 papers · 1 filter

nlin.SI2016

The inverse problem of a mixed Liénard type nonlinear oscillator equation from symmetry perspective

Ajey K. Tiwari, S. N. Pandey, V. K. Chandrasekar +2

In this paper, we discuss the inverse problem for a mixed Liénard type nonlinear oscillator equation , where and are…

nlin.SI2014

Factorization technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear systems

Ajey K. Tiwari, V. K. Chandrasekar, S. N. Pandey +1

In this paper, we discuss a systematic and self consistent procedure to factorize a rather general class of coupled nonlinear ordinary differential equations (ODEs), namely coupled…

nlin.SI2014★ 1 cited

On the complete Lie point symmetries classification of the mixed quadratic-linear Linard type equation

Ajey K. Tiwari, S. N. Pandey, M. Senthilvelan +1

In this paper we develop a systematic and self consistent procedure based on a set of compatibility conditions for identifying all maximal (eight parameter) and non-maximal (one an…

nlin.SI2013★ 58 cited

Classification of Lie point symmetries for quadratic Linard type equation

Ajey K. Tiwari, S. N. Pandey, M. Senthilvelan +1

In this paper we carry out a complete classification of the Lie point symmetry groups associated with the quadratic Linard type equation, $\ddot {x} + f(x){\dot {x}}^{2}…

nlin.SI2009★ 33 cited

A Group Theoretical Identification of Integrable Equations in the Liénard Type Equation : Part II: Equations having Maximal Lie Point Symmetries

S. N. Pandey, P. S. Bindu, M. Senthilvelan +1

In this second of the set of two papers on Lie symmetry analysis of a class of Liénard type equation of the form , where over dot denotes differ…

nlin.SI2009★ 27 cited

A Group Theoretical Identification of Integrable Cases of the Liénard Type Equation : Part I: Equations having Non-maximal Number of Lie point Symmetries

S. N. Pandey, P. S. Bindu, M. Senthilvelan +1

We carry out a detailed Lie point symmetry group classification of the Liénard type equation, , where and are arbitrary smooth function…

nlin.SI2005★ 78 cited

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 …