4 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…
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…