Symmetries of second-order potential differential systems.

Soh, Celestin Wafo; Udrişte, Constantin

Displaying similar documents to “Symmetries of second-order potential differential systems.”

Another representation for the maximal Lie algebra of $𝔰𝔩 (n + 2, ℝ)$ in terms of operators.

Feroze, Tooba, Qadir, Asghar (2009)

Differential Equations & Nonlinear Mechanics

Similarity:

An infinite dimensional version of the third Lie theorem

Rybicki, Tomasz

Similarity:

The concept of evolution operator is used to introduce a weak Lie subgroup of a regular Lie group, and to give a new version of the third Lie theorem. This enables the author to formulate and to study the problem of integrability of infinite-dimensional Lie algebras. Several interesting examples are presented.

Ermakov's superintegrable toy and nonlocal symmetries.

Leach, P.G.L., Karasu, A., Nucci, M.C., Andriopoulos, K. (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Normal Lie subsupergroups and non-abelian supercircles.

Baguis, P., Stavracou, T. (2002)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Lie systems: theory, generalisations, and applications

J. F. Cariñena, J. de Lucas

Similarity:

Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping: the so-called superposition rule. Apart from this fundamental property, Lie systems enjoy many other geometrical features and they appear in multiple branches of mathematics and physics. These facts, together with the authors' recent findings...