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pro vyhledávání: '"Dutta, Riki"'
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 dispersion (ND) effects. The balance between those effects results a solito
Externí odkaz:
http://arxiv.org/abs/2408.11533
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
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 said to be under soliton management (SM) scheme. At first, under a gau
Externí odkaz:
http://arxiv.org/abs/2402.03831
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
Akademický článek
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Publikováno v:
Journal of Optics; 20240101, Issue: Preprints p1-12, 12p
Akademický článek
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