29 citations · 126 across the 12 of their papers we have counts for
12 papers
PINN-Based Framework for Soliton Solutions of Gross Pitaevskii and Nonlinear Schrodinger Equations
P. S. Vinayagam, Sai Jeevanth G, D. Aravindha Krishnan +1
This study presents a data-driven framework for solving nonlinear wave equations, specifically the Gross-Pitaevskii equation (GPE) and the single-component nonlinear Schrodinger eq…
Robust Dynamics of Rogue waves, Breathers and Mixed Bound State Solutions in Spin-Orbit and Rabi Coupled Condensates
P. S. Vinayagam, R. Radha
In this paper, based on an integrable model governed by four system parameters, namely, spin-orbit coupling and Rabi coupling which are constants while the other two parameters, na…
Collisional Dynamics of Solitons and Pattern Formation in an Integrable Cross Coupled Nonlinear Schrodinger equation with constant background
P. S. Vinayagam, D. Aravindha Krishnan, R. V. Kamaleshwaran +1
We investigate the dynamics arising out of the propagation of light pulses with different polarizations through a condensate (referred to as a constant background field) with cross…
New classes of solutions in the Coupled PT Symmetric Nonlocal Nonlinear Schrodinger Equations with Four Wave Mixing
P. S. Vinayagam, R. Radha, U. Al Khawaja +1
We investigate generalized nonlocal coupled nonlinear Schroedinger equation containing Self-Phase Modulation, Cross-Phase Modulation and Four-Wave Mixing involving nonlocal interac…
Collisional Dynamics of Solitons in the Coupled PT symmetric Nonlocal nonlinear Schrodinger equations
P. S. Vinayagam, R. Radha, U. Al Khawaja +1
We investigate the focusing coupled PT-symmetric nonlocal nonlinear Schrodinger equation employing Darboux transformation approach. We find a family of exact solutions including pa…
Bright soliton dynamics in Spin Orbit-Rabi coupled Bose-Einstein condensates
P. S. Vinayagam, R. Radha, S. Bhuvaneswari +2
We investigate the dynamics of a spin-orbit (SO) coupled BECs in a time dependent harmonic trap and show the dynamical system to be completely integrable by constructing the Lax pa…
Manipulation of light in a generalized coupled Nonlinear Schrodinger equation
R. Radha, P. S. Vinayagam, K. Porsezian
We investigate a generalized coupled nonlinear Schrodinger (GCNLS) equation containing Self-Phase Modulation (SPM), Cross-Phase Modulation (XPM) and Four Wave Mixing (FWM) describi…
Engineering Bright Solitons to Enhance the Stability of Two-Component Bose-Einstein Condensates
R. Radha, P. S. Vinayagam, J. B. Sudharsan +2
We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive in…
Persistent bright solitons in sign-indefinite coupled nonlinear Schrodinger equations with a time-dependent harmonic trap
R. Radha, P. S. Vinayagam, J. B. Sudharsan +1
We introduce a model based on a system of coupled nonlinear Schrodinger (NLS) equations with opposite signs infront of the kinetic and gradient terms in the two equations. It also…
Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations
P. S. Vinayagam, R. Radha, Vivek M. Vyas +1
We harness the freedom in the celebrated gauge transformation approach to generate dark solitons of coupled nonlinear Schrödinger (NLS) type equations. The new approach which is pu…
An Analytical Window into the World of Ultracold Atoms
R. Radha, P. S. Vinayagam
We review the recent developments which had taken place in the domain of quasi one dimensional BECs from the viewpoint of integrability. To start with, we consider the dynamics of…
Rotation of the Trajectories of Bright soliton and Realignment of Intensity Distribution in the Coupled Nonlinear Schrodinger Equation
R. Radha, P. S. Vinayagam, K. Porsezian
We revisit the collisional dynamics of bright solitons in the coupled Nonlinear Schrodinger equation. We observe that apart from the intensity redistribution in the interaction of…