Lie Systems: Theory, Generalisations, and Applications
by J.F. Carinena, J. de Lucas
Publisher: arXiv 2011
Number of pages: 163
Description:
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.
Download or read it online for free here:
Download link
(1.5MB, PDF)
Similar books
Foundations Of Potential Theoryby Oliver Dimon Kellog - Springer
The present volume gives a systematic treatment of potential functions. It has a purpose to serve as an introduction for students and to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications.
(3043 views)
Interactions, Strings and Isotopies in Higher Order Anisotropic Superspacesby Sergiu I. Vacaru - arXiv
The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions. The main subjects are in the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces.
(8493 views)
Navier-Stokes Equations: On the Existence and the Search Method for Global Solutionsby Solomon I. Khmelnik - MiC
In this book we formulate and prove the variational extremum principle for viscous incompressible and compressible fluid, from which principle follows that the Navier-Stokes equations represent the extremum conditions of a certain functional.
(7094 views)
Lectures on Nonlinear Integrable Equations and their Solutionsby A. Zabrodin - arXiv.org
This is an introductory course on nonlinear integrable partial differential and differential-difference equations based on lectures given for students of Moscow Institute of Physics and Technology and Higher School of Economics.
(1753 views)