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   Articles with "using lie" as a keyword



A comprehensive analysis of Fokas–Lenells equation using Lie symmetry method

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recommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.9892

Abstract: This article extracts analytical solutions of the Fokas–Lenells equation describing pulse propagation in optical fibers and presents a comprehensive analysis of the analytical solutions. This paper focuses on deriving analytical, non‐perturbative solutions for the Fokas–Lenells… read more here.

Keywords: lenells equation; fokas lenells; using lie; lie symmetry ... See more keywords

Tremor Estimation and Removal in Robot-Assisted Surgery Using Lie Groups and EKF

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recommendations! Published in 2019 at "Robotica"

DOI: 10.1017/s0263574719000341

Abstract: Summary This paper aims at estimating the tremor torque using extended Kalman filter (EKF) applied to a two-link 3-DOF robot with nonlinear dynamics modelled using Lie-group and Lie-algebra theory. Later, it is generalised to d… read more here.

Keywords: using lie; tremor; torque; tremor estimation ... See more keywords
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Construction of representations of Poincaré group using Lie fields

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recommendations! Published in 2018 at "Journal of Mathematical Physics"

DOI: 10.1063/1.4993153

Abstract: In this paper, we give an explicit construction of the unitary irreducible representations of the Poincare groups in 2, 3, and 4 space-time dimensions on Hilbert spaces associated with the Schrodinger representation of the Weyl… read more here.

Keywords: using lie; construction; poincar group; representations poincar ... See more keywords

Solutions of 2-D Bratu Equations Using Lie Group Method

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14122635

Abstract: In this study, the nonlinear term in the two-dimensional Bratu equation has been replaced by its Taylor’s expansion. Hence, the resulting nonlinear partial differential equation has been studied using the Lie group method. The symmetry… read more here.

Keywords: differential equations; using lie; group method; lie group ... See more keywords