Results 21 to 30 of about 23,641,221 (298)
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 In this paper, exact and numerical solutions of two dimensional time-fractional diffusion-reaction equation involving the Riemann-Liouville derivative are determined, by applying a procedure that combines the Lie symmetry analysis with the numerical ...
Alessandra Jannelli +1 more
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Partial Differential Equations in Applied Mathematics, 2023 We consider a general class of systems of three partial differential equations and we provide restrictions on the form of Lie symmetry operators admitted by such systems. When these restrictions are known in advance, the symmetry analysis becomes simpler.
K. Charalambous +2 more
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Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation
上海师范大学学报. 自然科学版, 2017 In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions ...
Wang Li +3 more
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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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Automorphic Lie algebras with dihedral symmetry [PDF]
, 2014 The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan +9 more
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Rigid body trajectories in different 6D spaces [PDF]
, 2012 The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure can be used to determine the trajectory in a spatial frame of a rigid body in Euclidean space.
Biggs, James +6 more
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Results in Physics, 2019 This paper obtains optical soliton solutions with parabolic law nonlinearity coupled in nonlocal nonlinear medium. Lie symmetry analysis coupled with modified G′/G-expansion scheme retrieves these solitons.
Anupma Bansal +5 more
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Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
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CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation.
S. R. Hejazi, E. Lashkarian
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Results in Physics, 2020 In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
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