Results 11 to 20 of about 7,793,267 (329)
T 3-invariant heterotic Hull-Strominger solutions [PDF]
Journal of High Energy Physics, 2021 We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 ...
Bobby Samir Acharya +2 more
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Simple partially invariant solutions [PDF]
Ufimskii Matematicheskii Zhurnal, 2019 The continuous medium models of hydrodynamic type admit 11th dimensional Lie algebra of Galilean group enlarged by uniform dilatation of all independent variables. All subalgebras of this Lie algebra are listed up to inner automorphisms.
S. Khabirov
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Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation [PDF]
Discrete Dynamics in Nature and Society, 2013 One-dimensional optimal systems for nonhomogeneous discrete heat equation with different source terms are calculated. By utilizing these optimal systems invariant solutions are found.
M. N. Qureshi +3 more
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Making solutions invariant [PDF]
International Journal of Game Theory, 2003 This paper presents a method to modify a non-invariant solution concept in such a way that the resulting solution is invariant. The properties of the solution which are inherited by the modified solution are also analyzed. In particular, the authors show that the modified solution concept inherits all other requirements of Kohlberg-Mertens program ...
Vermeulen, A.J. +2 more
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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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Results in Physics, 2023 In this paper the system of equations arising from a simplified micromorphic model is studied using the Lie symmetry approach. The advantage of this approach is that is provides exact invariant solutions rather than numerical or approximate ones reported
M. Usman +3 more
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Group Invariant Solutions Without Transversality [PDF]
Communications in Mathematical Physics, 2000 We present a generalization of Lie's method for finding the group invariant solutions to a system of partial differential equations. Our generalization relaxes the standard transversality assumption and encompasses the common situation where the reduced differential equations for the group invariant solutions involve both fewer dependent and ...
Anderson, Ian M. +2 more
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Journal of Taibah University for Science, 2020 In this study, we consider the third order nonlinear Schrödinger equation (TONSE) that models the wave pulse transmission in a time period less than one-trillionth of a second.
Y. S. Özkan, E. Yaşar, A. Seadawy
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Weak transversality and partially invariant solutions [PDF]
Journal of Mathematical Physics, 2003 New exact solutions are obtained for several nonlinear physical equations, namely the Navier–Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schrödinger equation. The solution method makes use of the symmetry group of the system in situations when the standard Lie method of symmetry reduction is not applicable.
Grundland, A. M. +2 more
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Frontiers in Physics, 2020 The variable-coefficient Heisenberg ferromagnetic spin chain (vcHFSC) equation is investigated using the Lie group method. The infinitesimal generators and Lie point symmetries are reported.
Na Liu, Na Liu
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