Results 1 to 10 of about 38,858 (265)
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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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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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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Mathematics, 2020 On one hand, we construct λ-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations.
Yu-Shan Bai, Jian-Ting Pei, Wen-Xiu Ma
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Pracì Mìžnarodnogo Geometričnogo Centru, 2021 We study the relationship between structural properties of the two-dimensional nonconjugate subalgebras of the same rank of the Lie algebra of the Poincaré group P(1,4) and the properties of reduced equations for the (1+3)-dimensional homogeneous Monge ...
Vasyl Fedorchuk, Volodymyr Fedorchuk
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Mathematics, 2020 In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi +1 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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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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DUALITY INVARIANCE OF COSMOLOGICAL SOLUTIONS WITH TORSION [PDF]
International Journal of Modern Physics A, 1999 We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric.
Gangopadhyay, Debashis +1 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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