JETS, a way to empower calculations on differential equations in total derivatives on diffieties, talk at The Workshop on GDEq and Integrability, 11-15 October 2010, Hradec nad Moravici, Czech Republic (abstract)

From Geometry of Differential Equations
Jump to navigation Jump to search

Speaker: Hynek Baran

Title: JETS, a way to empower calculations on differential equations in total derivatives on diffieties

Abstract:
JETS is a tool to compute symmetries, conservation laws, zero-curvature representations, recursion operators, and many other invariants of systems of partial differential equations. A short review of JETS will be given along with a demonstration of some of its advanced capabilities.

Slides: Maple worksheets - 1. Basics, 2. Diffietes, 3. Symmetriess of KdV, 4. Deriving Deriving differential consequences, 5. Assignments to partial derivatives, 6. Classification

References:
A.V. Bocharov and M.L. Bronstein, Efficiently implementing two methods of the geometrical theory of differential equations: An experience in algorithm and software design, Acta Appl. Math. 16 (1989) 143-166, doi:10.1007/BF00046570

M. Marvan, Sufficient set of integrability conditions of an orthonomic system, Found. Comput. Math. 9 (2009) 651-674, arXiv:nlin/0605009

Retrieved from "https://gdeq.org/w/index.php?title=JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_talk_at_The_Workshop_on_GDEq_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic_(abstract)&oldid=1498"