Results 31 to 40 of about 530,977 (309)
Lie point symmetries and an approximate solution for the Schrödinger–Newton equations [PDF]
Nonlinearity, 2006 We consider two problems arising in the study of the Schr dinger-Newton equations. The first is to find their Lie point symmetries. The second, as an application of the first, is to investigate an approximate solution corresponding to widely separated lumps of probability.
Oliver Robertshaw, Paul Tod
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Heat polynomials and Lie point symmetries
Journal of Mathematical Analysis and Applications, 2005 AbstractThe classical heat polynomials are polynomial solutions of the heat equation. We demonstrate the generation of such polynomials through the medium of the group theoretical properties of the equation. A generalised procedure for the generation of polynomial solutions is presented and this is extended to the construction of related polynomials.
P. G. L. Leach
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FUNCTIONAL REALIZATIONS OF LIE ALGEBRAS AS NOETHER POINT SYMMETRIES OF SYSTEMS
Acta Polytechnica, 2017 Functional realizations of Lie algebras are applied to the problem of determining Lie and Noether point symmetries of Lagrangian systems in N dimensions, particularly in the plane.
Rutwig Campoamor-Stursberg
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Lie point symmetries and ODEs passing the Painlevé test [PDF]
Journal of Nonlinear Mathematical Physics, 2021 The Lie point symmetries of ordinary differential equations (ODEs) that are candidates for having the Painlev property are explored for ODEs of order $n =2, \dots ,5$. Among the 6 ODEs identifying the Painlev transcendents only $P_{III}$, $P_V$ and $P_{VI}$ have nontrivial symmetry algebras and that only for very special values of the parameters ...
Levi, D, Sekera, D, Winternitz, P
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Advances in Nonlinear Analysis, 2023 In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique +2 more
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Lie and Noether point symmetries for a class of nonautonomous dynamical systems [PDF]
Journal of Mathematical Physics, 2017 We prove two general theorems that determine the Lie and the Noether point symmetries for the equations of motion of a dynamical system that moves in a general Riemannian space under the action of a time dependent potential W(t,x)=ω(t)V(x). We apply the theorems to the case of a time dependent central potential and the harmonic oscillator and determine
Leonidas Karpathopoulos +2 more
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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems
Mathematics, 2022 The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied.
Stanislav Yu. Lukashchuk
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On Lie-point symmetries for Ito stochastic differential equations [PDF]
Journal of Nonlinear Mathematical Physics, 2021 To appear in Journal of Nonlinear Mathematical ...
G. Gaeta, Lunini Claudia
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Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
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