Results 11 to 20 of about 23,641,221 (298)

Birkhoff’s Theorem and Lie Symmetry Analysis

open access: yesJournal of High Energy Physics, Gravitation and Cosmology, 2021
Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution, which essentially is the statement of the well known Birkhoffs Theorem.
Mukherjee, Avijit, Roy, Subham B
openaire   +3 more sources

Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein. [PDF]

open access: yesPLoS ONE, 2013
Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells.
Jen-Cheng Wang   +5 more
doaj   +1 more source

Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+1)-dimensional rdDym equation using the Lie symmetry approach

open access: yesResults in Physics, 2021
The present study is devoted to obtaining some exact generalized solutions and new solitary wave solutions for a (2+1)-dimensional nonlinear rth dispersionless Dym (rdDym) equation by utilizing the Lie symmetry analysis. The Lie infinitesimals, geometric
Sachin Kumar   +2 more
doaj   +1 more source

A study of Bogoyavlenskii’s (2+1)-dimensional breaking soliton equation: Lie symmetry, dynamical behaviors and closed-form solutions

open access: yesResults in Physics, 2021
This paper employs the Lie symmetry analysis to investigate novel closed-form solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation.
Sachin Kumar   +4 more
doaj   +1 more source

Lie symmetry analysis for generalized short pulse equation

open access: yesOpen 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
doaj   +1 more source

Lie Symmetry Analysis for Cosserat Rods [PDF]

open access: yes, 2014
12 Pages, 1 ...
Dominik Ludewig Michels   +4 more
openaire   +3 more sources

A new (3+1) dimensional Hirota bilinear equation: Painlavé integrability, Lie symmetry analysis, and conservation laws

open access: yesJournal of Taibah University for Science, 2022
This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
doaj   +1 more source

On The Optimization of DC-Pension Fund Investment by Lie Symmetry Analysis [PDF]

open access: yes, 2023
We applied the works inspired by Kumei and Bluman in the determination and evaluation of time-dependent financial investments especially in the DC-Pension fund optimization.
Ijioma, Onwukwe
core   +1 more source

Lie symmetry analysis on pricing power options under the Heston dynamic and some fractional financial models [PDF]

open access: yes
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   +4 more sources

Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation

open access: yesComplexity, 2020
In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj   +1 more source

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