Results 61 to 70 of about 111,509 (220)

A Necessary Condition for existence of Lie Symmetries in Quasihomogeneous Systems of Ordinary Differential Equations

, 2001
Lie symmetries for ordinary differential equations are studied. In systems of ordinary differential equations, there do not always exist non-trivial Lie symmetries around equilibrium points.
Furta S. D., Goriely A., Ibragimov N. H., Kozlov V. V., Olver P. J., Yoshida H.   +5 more
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Lie point symmetry reductions of Bondi's radiating metric

Journal of Physics: Conference Series, 2007
The Lie point symmetries of the Einstein vacuum equations corresponding to the Bondi form of the line element are presented. Using these symmetries, we study reductions of the field equations, which might lead to new asymptotically flat solutions, representing gravitational waves emitted by an isolated source.
S Dimas, D Tsoubelis, P Xenitidis
openaire   +1 more source

A group theoretic approach to shear-free radiating stars

, 2015
A systematic analysis of the junction condition, relating the radial pressure with the heat flow in a shear-free relativistic radiating star, is undertaken. This is a highly nonlinear partial differential equation in general.
Abebe, G., Govinder, K. S., Maharaj, S. D.   +2 more
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Some new invariant solutions of nonlinear fifth order partial differential equation via Lie approach

Partial Differential Equations in Applied Mathematics
In this paper, the classical Lie symmetry analysis of (1+3) dimensional perturbed Zakharov–Kuznetsov (pZK) equation has been studied. We present a thorough classification of Lie point symmetries for pZK equation.
Muhammad Irshad, Muhammad Hussan, Aqsa Haider, H.M. Younas, Zulfiqar Ali, Iram Jahangir   +5 more
doaj   +1 more source

Symmetries, Conservation Laws, and Wave Equation on the Milne Metric

Journal of Applied Mathematics, 2012
Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In
Ahmad M. Ahmad, Ashfaque H. Bokhari, F. D. Zaman   +2 more
doaj   +1 more source

Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices

, 2006
This paper is mainly a review of the multi--Hamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new results.
Collingwood D. H., Damianou P. A., Ibragimov N. H., Koszul J. L., Kupershmidt B., Lichnerowicz A., Manakov S., Moser J., Oevel W., Ovsiannikov L. V., PANTELIS A. DAMIANOU, Smirnov R. G., Weinstein A.   +12 more
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Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations

Results in Physics, 2020
We describe two new discrete symmetries of the inviscid Burgers (or Riemann–Hopf) equation ut+uux=0. We derived both of them using a local, formal approach of Hopf algebraic renormalization, a tool recently used in algorithmic computations. We prove that
G. Barad, E. Czeizler, A. Paun
doaj   +1 more source

Invariant vector fields and the prolongation method for supersymmetric quantum systems

, 2005
The kinematical and dynamical symmetries of equations describing the time evolution of quantum systems like the supersymmetric harmonic oscillator in one space dimension and the interaction of a non-relativistic spin one-half particle in a constant ...
Ayari M A, Ayari M A, Beckers J, Beckers J, Bluman G W, Buzano C, Bérubé-Lauzière Y, Cooper F, de Crombrugghe M, Durand S, Fernández D J, Jaynes E T, Labelle P, Manin Yu I, Mathieu P, Nibaldo Alvarez-Moraga, Niederer U, Olver P J, Orzag M, Roelofs G H M, Salam A, V ronique Hussin, Wybourne B   +22 more
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Lie remarkable partial differential equations characterized by Lie algebras of point symmetries [PDF]

Journal of Geometry and Physics, 2019
22 ...
Gorgone, Matteo, Oliveri, Francesco
openaire   +2 more sources

1+1 spectral problems arising from the Manakov-Santini system

, 2010
This paper deals with the spectral problem of the Manakov Santini system. The point Lie symmetries of the Lax pair have been identified. Several similarity reductions arise from these symmetries. An important benefit of our procedure is that the study of
Bluman G W, Bogdanov L V, Chang J H Chen Y T, Estévez P G, Ibragimov N, J Prada, M L Gandarias, M S Bruzón, Olver P J, P G Estévez, Pavlov M V Chang J H Chen Y T, Stephani H   +11 more
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