Results 51 to 60 of about 710,480 (295)
Quantum Algebras and Integrable Boundaries in AdS/CFT [PDF]
, 2012 This thesis studies quantum integrable structures such as Yangians and quantum affine algebras that arise in and are inspired by the AdS/CFT duality, with a primary emphasis on the exploration of integrable boundaries deeply hidden in the duality.
Regelskis, Vidas
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Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
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SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations.
Nadjafikhah M., Hejazi S.R.
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FEBS Letters, EarlyView.Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
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Non-Lie Symmetries and Supersymmetries
Journal of Nonlinear Mathematical Physics, 1995 The paper deals with the non-Lie symmetries for the Schrödinger equation \[ \begin{aligned} &L\psi(t,x)=0,\qquad L=i\partial_t -H,\\ &H = \frac 12(-\partial_x^2+U(x)),\quad \partial_t\equiv \frac{\partial}{\partial t},\quad \partial_x\equiv \frac{\partial}{\partial x}, \end{aligned}\tag{1} \] where \(U(x)\) is an arbitrary function of the only spatial ...
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A triple construction for Lie bialgebras [PDF]
, 2005 We study the triple of a quasitriangular Lie bialgebra as a natural extension of the Drinfel’d double. The triple is itself a quasitriangular Lie bialgebra.
Grabowski, Jan
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A Quantization Procedure of Fields Based on Geometric Langlands Correspondence
International Journal of Mathematics and Mathematical Sciences, 2009 We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing ...
Do Ngoc Diep
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Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
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FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Lie symmetries of Benjamin-Ono equation
Mathematical Biosciences and Engineering, 2021 <abstract><p>Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis
Weidong Zhao +3 more
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