Results 11 to 20 of about 340,400 (255)
Lie symmetry analysis of the Grad-Shafranov equation [PDF]
, 2011 The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose the Grad-Shafranov equation which may illustrate the reciprocal advantage of this interaction between plasma physics and symmetry techniques.
Mehdi Nadjafikhah, Parastoo Kabi-Nejad
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Lie Symmetry Analysis for the SIS Model of Epidemiology [PDF]
Proceedings, 2018 A system of three nonlinear ordinary differential ...
Mokiri Nkwana, Jacob Matshwenyego Manale
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Lie symmetry analysis of the time fractional Boussinesq equation
Acta Physica Sinica, 2013 We have applied the Lie group analysis method to the time fractional Boussinesq equation. This equation can be reduced to an equation which is related to the Erdelyi-Kober fractional derivative by Lie method as a result. It is shown that the approach introduced here is effective and easy to implement.
Xingjiang Yu, Xi-Qiang Liu
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Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation
Communications in Mathematics, 2022 In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All the geometry vector fields of seventh order KdV equations are presented. Using Lie transformation seventh order CDG equation is reduced into ordinary differential equations. These ODEs are solved by power series method to obtain exact solution.
Hariom Sharma, Rajan Arora
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Lie symmetry analysis of fractional ordinary differential equation with neutral delay
AIMS Mathematics, 2021 In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
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Controllability analysis of mechanical multibody dynamics control systems based on lie symmetry
Alexandria Engineering JournalTo quantitatively characterize the dynamic controlled performance of mechanical multibody systems and design collaborative control strategies, this paper investigates the controllability of mechanical multibody dynamic control systems. Firstly, under the
Zheng Mingliang
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Lie group analysis for short pulse equation [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
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Birkhoff’s Theorem and Lie Symmetry Analysis
Journal 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
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Lie symmetries of Benjamin-Ono equation
Mathematical Biosciences and Engineering, 2021 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 ...
Weidong Zhao +3 more
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Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]
Mathematical Problems in Engineering, 2011 The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
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