Results 41 to 50 of about 710,480 (295)
Lie symmetry analysis on pricing power options under the Heston dynamic and some fractional financial models [PDF]
The rise of computational mathematics in financial markets has accelerated the bloom of various financial models. For instance, the Black-Scholes-Merton model, the Vasicek model, the Cox-Ingersoll-Ross model, the Heston model, etc.
Chong, Kam Yoon
core +3 more sources
Constructing an explicit AdS/CFT correspondence with Cartan geometry
An explicit AdS/CFT correspondence is shown for the Lie group SO(4,2). The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry.
Jeffrey S. Hazboun
doaj +1 more source
Lie Bialgebra Structures on the Lie Algebra L Related to the Virasoro Algebra
A Lie bialgebra is a vector space endowed simultaneously with the structure of a Lie algebra and the structure of a Lie coalgebra, and some compatibility condition. Moreover, Lie brackets have skew symmetry.
Jia Zheng, Yihong Su, Xue Chen
core +1 more source
Lie symmetries and Noether symmetries
We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associated of a differential equation derived from a Lagrangian are in fact noetherian. The source of the misunderstanding lies in the nonuniqueness of the Lagrangian.
openaire +2 more sources
Artificial molecular machines and motors—Design and control of nanoscale motion
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
Conservation laws for perturbed solitons in optical metamaterials
The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model will be studied with two forms of nonlinearity. They are Kerr law and parabolic law. Keywords:
Anjan Biswas +6 more
doaj +1 more source
In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
doaj +1 more source
Heterodimeric amino acid transporters consist of SLC7 and SLC3 family proteins arranged in a conserved structural organization. They regulate nutrient transport across cell membranes, supporting essential cellular functions. These transporters also contribute to xenobiotic/drug uptake and distribution.
Mariafrancesca Scalise +5 more
wiley +1 more source
Lie Algebras of Approximate Symmetries
In the paper the properties of approximate symmetries of equations with a small parameter are discussed. It turns out that approximate symmetries form an approximate Lie algebra. A concept of approximate invariants is introduced and the algorithm of their calculating is proposed. All assertions presented in the paper are not supplied with the proofs.
openaire +1 more source
Lie Symmetry Analysis for Cosserat Rods [PDF]
12 Pages, 1 ...
Dominik Ludewig Michels +4 more
openaire +3 more sources

