134 citations · 1.9k across the 106 of their papers we have counts for
106 papers
A study on Darboux polynomials and their significance in determining other integrability quantifiers: A case study in third-order nonlinear ordinary differential equations
R. Mohanasubha, M. Senthilvelan
In this paper, we present a method of deriving extended Prelle-Singer method's quantifiers from Darboux Polynomials for third-order nonlinear ordinary differential equations. By kn…
Instability of single- and double-periodic waves in the fourth-order nonlinear Schrödinger equation
N. Sinthuja, S. Rajasekar, M. Senthilvelan
We compute the instability rate for single- and double-periodic wave solutions of a fourth-order nonlinear Schrödinger equation. The single- and double-periodic solutions of a four…
Rogue waves with two different double-periodic wave backgrounds and their modulational instabilities of a fifth-order nonlinear Schrödinger equation
N. Sinthuja, M. Senthilvelan
In this article, we derive rogue wave (RW) solutions of a fifth-order nonlinear Schrödinger equation over a double-periodic wave background. Choosing the elliptic functions (combin…
Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity
S. Monisha, N. Vishnu Priya, M. Senthilvelan +1
We construct certain higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize th…
Quantum Synchronization in quadratically coupled quantum van der Pol oscillators
Niss Thomas, M. Senthilvelan
We implement nonlinear anharmonic interaction in the coupled van der Pol oscillators to investigate the quantum synchronization behaviour of the systems. We study the quantum synch…
Similarity reductions of peakon equations: integrable cubic equations
L. E. Barnes, A. N. W. Hone, M. Senthilvelan +1
We consider the scaling similarity solutions of two integrable cubically nonlinear partial differential equations (PDEs) that admit peaked soliton (peakon) solutions, namely the mo…