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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Lie Symmetry Analysis of C1m,a,b Partial Differential Equations
Advances in Mathematical Physics, 2021 In this article, we discussed the Lie symmetry analysis of C1m,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 ...
Hengtai Wang +2 more
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Lie symmetry analysis of the Hanta-epidemic systems
Journal of Mathematics and Computer Science, 2017 Summary: We consider a model for the fatal Hanta-virus infection among mice. Lie symmetry analysis is applied to find general solutions to Hanta-virus model, which is also known as Abramson-Kenkre model. Besides the solution for the version with derivatives of fractional order, we investigate the model also by using the Lie symmetry method.
YAKIT ONGUN, Mevlüde, Kocabiyik, Mehmet
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A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian [PDF]
Studies in Applied Mathematics, 2018 AbstractIn this work, we consider the Lie point symmetry analysis of a strongly nonlinear partial differential equation of third order, the ∞‐Polylaplacian, in two spatial dimensions. This equation is a higher order generalization of the ∞‐Laplacian, also known as Aronsson's equation, and arises as the analog of the Euler–Lagrange equations of a second‐
Georgios Papamikos, Tristan Pryer
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Lie group analysis and its invariants for the class of multidimensional nonlinear wave equations
Nonlinear AnalysisWe systematically classify Lie symmetries of a class of (2 + 1)-dimensional nonlinear wave equations. Our methodology proposes a symmetry classification for Lie generators applicable to four distinct cases inherent within this equation.
Akhtar Hussain +3 more
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Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation
Journal of Function Spaces, 2021 Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation.
Rong Qi +4 more
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Results in Physics, 2023 The Lie symmetry analysis of the Riabouchinsky Proudman Johnson (RPJ) equation is discussed in this research. In the onset, we derive the geometric vector fields using the classical Lie symmetry technique. Here, we have a four-dimensional Lie algebra.
A. Hussain +3 more
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Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system [PDF]
Boundary Value Problems, 2017 The symmetry analysis method is used to study the Drinfeld-Sokolov-Wilson system. The Lie point symmetries of this system are obtained. An optimal system of one-dimensional subalgebras is derived by using Ibragimov’s method.
Yufeng Zhang, Zhonglong Zhao
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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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Invariant solutions, lie symmetry analysis, bifurcations and nonlinear dynamics of the Kraenkel-Manna-Merle system with and without damping effect. [PDF]
Sci RepAldwoah K +5 more
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