[HTML][HTML] Geometry of jet spaces and integrable systems

J Krasil'shchik, A Verbovetsky - Journal of Geometry and Physics, 2011 - Elsevier
An overview of some recent results on the geometry of partial differential equations in
application to integrable systems is given. Lagrangian and Hamiltonian formalism both in …

[图书][B] The geometry of jet bundles

DJ Saunders - 1989 - books.google.com
The purpose of this book is to provide an introduction to the theory of jet bundles for
mathematicians and physicists who wish to study differential equations, particularly those …

[图书][B] Analysis and control of nonlinear systems: A flatness-based approach

J Levine - 2009 - books.google.com
Page 1 RINGMATHEMATICALENGINEERINGMATHEMAT RINGMATHEMATICAL
ENGINEERINGMATHEMA Jean Lévine Analysis and Control of Nonlinear Systems A …

A lie-backlund approach to equivalence and flatness of nonlinear systems

M Fliess, J Lévine, P Martin… - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
A new system equivalence relation, using the framework of differential geometry of jets and
prolongations of infinite order, is studied. In this setting, two systems are said to be …

Covariant theory of asymptotic symmetries, conservation laws and central charges

G Barnich, F Brandt - Nuclear Physics B, 2002 - Elsevier
Under suitable assumptions on the boundary conditions, it is shown that there is a bijective
correspondence between equivalence classes of asymptotic reducibility parameters and …

[图书][B] Smooth manifolds and observables

J Nestruev, AV Bocharov, S Duzhin - 2003 - Springer
This book is a self-contained introduction to smooth manifolds, fiber spaces, and differential
operators on them. It is not only accessible to graduate students specializing in mathematics …

[图书][B] Arnold's problems

VI Arnold - 2004 - Springer
The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

Introduction to the variational bicomplex

IM Anderson - 1992 - digitalcommons.usu.edu
The variational bicomplex was first introduced in the mid 1970's as a means of studying the
inverse problem of the calculus of variations. This is the problem of characterizing those …

[图书][B] Involution

WM Seiler - 2010 - Springer
1 3 Werner M.Seiler Page 1 1 3 algorithms and computation in mathematics 24 Involution
The Formal Theory of Differential Equations and its Applications in Computer Algebra Werner …

Nonlocal trends in the geometry of differential equations: symmetries, conservation laws, and Bäcklund transformations

IS Krasil'Shchik, AM Vinogradov - Symmetries of Partial Differential …, 1989 - Springer
The theory of coverings over differential equations is exposed which is an adequate
language for describing various nonlocal phenomena: nonlocal symmetries and …