Results 61 to 70 of about 26,049 (163)
Lie symmetries in higher dimensional charged radiating stars
HeliyonThis study investigates the Lie symmetry properties of matter variables, spacetime dimension, and kinematic quantities in spherically symmetric radiating stars undergoing gravitational collapse in higher dimensional spacetimes.
Noeleen Naidoo +2 more
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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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Case Studies in Thermal Engineering, 2017 Various attempts are made to encounter heat transfer characteristics of Powell-Eyring fluid model by using different ways but as yet few are reported with accuracy through Lie group analysis. Especially the involvement of both mechanisms that is heat and
Khalil Ur Rehman +3 more
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Results in Physics, 2016 In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar +2 more
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Lie symmetry analysis of the effects of urban infrastructures on residential property values. [PDF]
PLoS One, 2021 Lin CW +6 more
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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.
null Yu Xing-Jiang, null Liu Xi-Qiang
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Some new invariant solutions of nonlinear fifth order partial differential equation via Lie approach
Partial Differential Equations in Applied MathematicsIn this paper, the classical Lie symmetry analysis of (1+3) dimensional perturbed Zakharov–Kuznetsov (pZK) equation has been studied. We present a thorough classification of Lie point symmetries for pZK equation.
Muhammad Irshad +5 more
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Lie symmetry analysis of \(C_1(m, a, b)\) partial differential equations
Advances in Mathematical Physics, 2021 Summary: In this article, we discussed the Lie symmetry analysis of \(C_1(m, a, b)\) fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions, and conservation laws. In both cases, the symmetry algebra is of low dimensions.
Hengtai Wang +2 more
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AIP Advances, 2016 The N = 1 supersymmetric mKdVB system is transformed to a coupled bosonic system by using the bosonization approach.
Bo Ren
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Lie Group Symmetry of Dimensional Analysis
This paper aims to reveal the systematic unification of dimensional analysis with scaling Lie group invariants and Lie algebra representation theory, proving that its essence is the symmetry reduction of physical laws under the scaling group (stretching group). By introducing the theory of Lie groups and their Lie algebras, we reinterpret dimensionless
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