3 papers
nlin.PS2026
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…
nlin.PS2024
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…
nlin.SI2024
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…