Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Saharia, Gautam Kumar"'
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 nonlinear differential equations such as the nonlinear Schr\"odinger equ
Externí odkaz:
http://arxiv.org/abs/2406.03203
Publikováno v:
Sagardeep Talukdar, Riki Dutta, Gautam Kumar Saharia, Sudipta Nandy; Systematic soliton shape modulation by engineering superposed plane wave and soliton parameters. Chaos 1 August 2024; 34 (8): 083108
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 wave solution of the coupled FLE by linear superposition of two distinct
Externí odkaz:
http://arxiv.org/abs/2311.01523
Publikováno v:
Optical and Quantum Electronics 55 (13), 1183, 2023
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 auxilary function to obtain the dark one soliton solution, dark two soliton
Externí odkaz:
http://arxiv.org/abs/2307.15136
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 parameters into the residual loss function. We also add conserve quantity
Externí odkaz:
http://arxiv.org/abs/2306.03105
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 function to convert the trilinear equations into a set of bilinear equa
Externí odkaz:
http://arxiv.org/abs/2305.06977