47 citations · 55 across the 4 of their papers we have counts for
5 papers
Quantum dynamical echo in two-level systems
R. Sankaranarayanan, Jane H. Sheeba, M. Lakshmanan
Evolution of quantum fidelity for two-level systems is studied in the context of periodic echo. From a general treatment for time independent case, we obtain a simple condition on…
Localized Coherent Structures of Ishimori Equation I through Hirota's Bilinearization method:Time dependent/Stationary boundaries
S. Vijayalakshmi, M. Lakshmanan
Ishimori equation is a dimensional generalization of the dimensional integrable classical continuous Heisenberg ferromagnetic spin equation. The richness of the coh…
An unusual Liénard type nonlinear oscillator with properties of a linear harmonic oscillator
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
A Liénard type nonlinear oscillator of the form , which may also be considered as a generalized Emden type equation, is shown to posses…
New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
In this letter we show that the force-free Duffing-van der Pol oscillator is completely integrable for a specific parametric choice. We derive a general solution for this parametri…
Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations
M. Senthil Velan, Muthusamy Lakshmanan
In this paper we study Lie symmetries, Kac-Moody-Virasoro algebras, similarity reductions and particular solutions of two different recently introduced (2+1)-dimensional nonlinear…