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10 papers · 1 filter
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 note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation
P. R. Gordoa, A. Pickering, M. Senthilvelan
We investigate the Painleve analysis for a (2+1) dimensional Camassa-Holm equation. Our results show that it admits only weak Painleve expansions. This then confirms the limitation…
Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation
M. Senthilvelan, M. Torrisi, A. Valenti
By using the Lie's invariance infinitesimal criterion we obtain the continuous equivalence transformations of a class of nonlinear Schrödinger equations with variable coefficients.…
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…
Existence of anticipatory, complete and lag synchronizations in time-delay systems
D. V. Senthilkumar, M. Lakshmanan
Existence of different kinds of synchronizations, namely anticipatory, complete and lag type synchronizations (both exact and approximate), are shown to be possible in time-delay c…