Results 61 to 70 of about 3,941 (265)
Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation
Advances in Mathematical Physics, 2023 In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory.
Ramin Najafi +2 more
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Dimsym and LIE: Symmetry determination packages
Mathematical and Computer Modelling, 1997 The authors describe the features of two software packages named DIMSYM and LIE. While LIE is written in LISP and runs under DOS the DIMSYM package is written in REDUCE. Both packages are dealing with Lie symmetries of differential equations. The paper includes examples and lists commands of the packages giving explainations of their functionality ...
Sherring, J., Head, A. K., Prince, G. E.
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Advanced Engineering Materials, EarlyView.The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee +7 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Note on Lie Point Symmetries of Burgers Equations
Trends in Computational and Applied Mathematics, 2010 . In this note we study the Lie point symmetries of a class of evolution equations and obtain a group classification of these equations. We also identify the classical Lie algebras that the symmetry Lie algebras are isomorphic to.
I. L. Freire
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Automorphic Lie algebras with dihedral symmetry [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 20 pages, 5 tables, standard ...
Knibbeler, V. +2 more
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Advanced Engineering Materials, EarlyView.Dislocation cutting of γ′ precipitates in Ni‐based superalloys is investigated by linking atomistic simulations with discrete dislocation dynamics. The critical cutting stress is shown to be governed by the antiphase boundary energy, while line tension effects promote edge‐preferred cutting.
Frédéric Houllé +9 more
wiley +1 more source
Open Physics, 2017 For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Maria S. +3 more
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Advanced Engineering Materials, EarlyView.Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink +4 more
wiley +1 more source
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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