Results 251 to 260 of about 123,268 (267)

Lie Symmetry Group Methods

2013
This chapter introduces Lie Symmetry Group Methods as a powerful tool which can be used to algorithmitically solve partial differential equations. The latter feature prominently in mathematical finance, and we introduce Lie Symmetry methods by using them to algorithmitically solve the most famous partial differential equation in mathematical finance ...
Jan Baldeaux, Eckhard Platen
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Poincare normal forms and Lie point symmetries

Journal of Physics A: Mathematical and General, 1994
Summary: We study Poincaré normal forms of vector fields in the presence of symmetry under general -- i.e. not necessarily linear -- diffeomorphisms. We show that it is possible to reduce both the vector field and the symmetry diffeomorphism to normal form by means of an algorithmic procedure similar to the usual one for Poincaré normal forms without ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Lie symmetries and reductions

2009
Abstract Phrases like ‘the unifying role of symmetry in . . . ‘ feature prominently in the popular science literature. Depending on the subject, the symmetry may be ‘cosmic’, ‘Platonic’, ‘perfect’, ‘broken’, or even ‘super’.
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Deformation of Lie derivative and μ-symmetries

Journal of Physics A: Mathematical and Theoretical, 2007
We introduce, in the spirit of Witten's gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of λ- and μ-symmetries, in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to λ- and μ-conservation laws.
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Conservation laws and Lie-B�cklund symmetry

Russian Physics Journal, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lie-point symmetries in bifurcation problems

1992
The authors develop a theory of bifurcations of differential equations with Lie point symmetries. Viewing the differential equation as an ``algebraic equation'' on some jet bundle is the key of the analysis. The authors show how the well-known results of equivariant bifurcation theory can be formulated in this context and how the results carry over ...
CICOGNA, GIAMPAOLO, Gaeta G.
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DIFFERENTIAL EQUATIONS AND LIE SYMMETRIES

Waves and Stability in Continuous Media, 2008
OLIVERI, Francesco, MANNO G, VITOLO R.
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Lie Symmetries and Weak Transversality

Theoretical and Mathematical Physics, 2003
We discuss the notion of weak transversality and clarify its role in the context of Lie group theory with several examples. In particular, we present some new results concerning models of fluid dynamics.
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Groups, Lie Algebras, Symmetries in Physics

2018
The first problems in this chapter deal with basic properties of groups and of group representations. Fundamental results following from Schur lemma are introduced since the beginning in the case of finite groups, with simple applications of character theory, in the study of vibrational levels of symmetric systems. Other problems concern the notion and
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Generalized Lie symmetries

2018
Ernest G Kalnins, Jonathan M Kress, Willard Miller   +2 more
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