Results 71 to 80 of about 26,049 (163)

Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation

Open Mathematics, 2019
In this paper, Lie symmetry analysis is performed for the equation derived from $(2+1)$-dimensional higher order Broer-Kaup equation. Meanwhile, the optimal system and similarity reductions based on the Lie group method are obtained.
Wang Hengtai, Chen Huiwen, Ouyang Zigen, Li Fubin   +3 more
doaj   +1 more source

Lie symmetry analysis and exact solutions of the Sawada--Kotera equation

TURKISH JOURNAL OF MATHEMATICS, 2017
Summary: In the present paper, the Sawada-Kotera equation is considered by Lie symmetry analysis. All of the geometric vector fields to the Sawada-Kotera equation are obtained, and then the symmetry reductions and exact solutions of the Sawada-Kotera equation are investigated.
openaire   +1 more source

Correlated dynamics of immune network and sl(3, R) symmetry algebra

Computational and Mathematical Biophysics
We observed the existence of periodic orbits in immune network under transitive solvable Lie algebra. In this article, we focus to develop condition of maximal Lie algebra for immune network model and use that condition to construct a vector field of ...
Dutta Ruma, Stan Aurel
doaj   +1 more source

Symmetry Analysis and Wave Solutions of Time Fractional Kupershmidt Equation

Journal of Applied Mathematics
This study employs the Lie symmetry technique to explore the symmetry features of the time fractional Kupershmidt equation. Specifically, we use the Lie symmetry technique to derive the symmetry generators for this equation, which incorporates a ...
Shalu Saini, Rajeev Kumar, Kamal Kumar
doaj   +1 more source

Fractional Boundary Layer Flow: Lie Symmetry Analysis and Numerical Solution

Mathematics
In this paper, we present a fractional version of the Sakiadis flow described by a nonlinear two-point fractional boundary value problem on a semi-infinite interval, in terms of the Caputo derivative.
Alessandra Jannelli, Maria Paola Speciale   +1 more
doaj   +1 more source

Complex Connections between Symmetry and Singularity Analysis

Mathematical and Computational Applications
In this paper, it is noted that three apparently disparate areas of mathematics—singularity analysis, complex symmetry analysis and the distributional representation of special functions—have a basic commonality in the underlying methods used.
Asghar Qadir
doaj   +1 more source

Using Lie symmetries in epidemiology

Electronic Journal of Differential Equations, 2005
Lie symmetry method has been and still is successfully applied in different problems of physics for about a hundred years, but its application in epidemiology has been rare perhaps because the ordinary differential equations studied in this field are ...
Maria Clara Nucci
doaj  

Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets

International Journal of Mathematics and Mathematical Sciences
We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
openaire   +2 more sources

Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn. [PDF]

Sci Rep
Shakeel M, Abbas N, Rehman MJU, Alshammari FS, Al-Yaari A.   +4 more
europepmc   +1 more source

Invariant solutions, lie symmetry analysis, bifurcations and nonlinear dynamics of the Kraenkel-Manna-Merle system with and without damping effect. [PDF]

Sci Rep
Aldwoah K, Ahmad S, Alqarni F, Younis J, Hashim HE, Hleili M.   +5 more
europepmc   +1 more source