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): Difference between revisions
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| 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. | | 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 - [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Basics_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|1. Basics]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Diffietes_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|2. Diffietes]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Symms_of_KdV_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|3. Symmetriess of KdV]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Deriv_diff_cons_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw| 4. Deriving Deriving differential consequences]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Assigns_part_ders_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|5. Assignments to partial derivatives]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Classification_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|6. Classification]] | | slides = Maple worksheets - [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Basics_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|1. Basics]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Diffietes_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|2. Diffietes]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Symms_of_KdV_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|3. Symmetriess of KdV]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Deriv_diff_cons_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw| 4. Deriving Deriving differential consequences]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Assigns_part_ders_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|5. Assignments to partial derivatives]], [[Media:Baran_H._JETS,_a_way_to_empower_calculations_on_differential_equations_in_total_derivatives_on_diffieties,_Classification_(The_Workshop_on_Geometry_of_Differential_Equations_and_Integrability,_11-15_October_2010,_Hradec_nad_Moravici,_Czech_Republic).mw|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 | | 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, [http://dx.doi.org/10.1007/BF00046570 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}} | M. Marvan, Sufficient set of integrability conditions of an orthonomic system, Found. Comput. Math. '''9''' (2009) 651-674, {{arXiv|nlin/0605009}} | ||
| 79YY-MM-DD = 7989-89-84 | | 79YY-MM-DD = 7989-89-84 | ||
}} | }} | ||
Revision as of 22:10, 25 October 2010
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