1 citations · 3 across the 7 of their papers we have counts for
7 papers
Soliton Dynamics of a Gauged Fokas-Lenells Equation Under Varying Effects of Dispersion and Nonlinearity
Riki Dutta, Sagardeep Talukdar, Gautam K. Saharia +1
Davydova-Lashkin-Fokas-Lenells equation (DLFLE) is a gauged equivalent form of Fokas-Lenells equation (FLE) that addresses both spatio-temporal dispersion (STD) and nonlinear dispe…
Fokas-Lenells Derivative nonlinear Schrödinger equation its associated soliton surfaces and Gaussian curvature
Sagardeep Talukdar, Riki Dutta, Gautam Kumar Saharia +1
One of the most important tasks in mathematics and physics is to connect differential geometry and nonlinear differential equations. In the study of nonlinear optics, integrable no…
Soliton Management for ultrashort pulse: dark and anti-dark solitons of Fokas-Lenells equation with a damping like perturbation and a gauge equivalent spin system
Riki Dutta, Gautam K Saharia, Sagardeep Talukdar +1
We investigate the propagation of an ultrashort optical pulse using Fokas-Lenells equation (FLE) under varying dispersion, nonlinear effects and perturbation. Such a system can be…
Linear interference and systematic soliton shape modulation by engineering plane wave background and soliton parameters
Sagardeep Talukdar, Riki Dutta, Gautam Kumar Saharia +1
We investigate linear interference of a plane wave with different localised waves using coupled Fokas-Lenells equation(FLE) with four wave mixing (FWM) term. We obtain localised wa…
Fokas-Lenells equation dark soliton and gauge equivalent spin equation
Riki Dutta, Sagardeep Talukdar, Gautam Kumar Saharia +1
We propose the Hirota bilinearization of the Fokas-Lenells derivative nonlinear Schrodinger equation with a non-vanishing background. The bilinear method is applied using an auxila…
Bilinearization of the Fokas-Lenells equation Conservation laws and soliton interactions
Sagardeep Talukdar, Riki Dutta, Gautam Kumar Saharia +1
In this paper, we propose the bilinearization of the Fokas-Lenells equation (FLE) with a vanishing boundary condition. In the proposed bilinearization we make use of an auxiliary f…
Data driven localized wave solution of the Fokas-Lenells equation using modified PINN
Gautam Kumar Saharia, Sagardeep Talukdar, Riki Dutta +1
We investigate data driven localized wave solutions of the Fokas-Lenells equation by using physics informed neural network(PINN). We improve basic PINN by incorporating control par…