PDE systems formal integrability study tool
Brackets package provides means to study formal integrability conditions of overdetermined PDE systems. Package exports two main functions
KLmultibracket for calculating Mayer bracket  and Kruglikov-Lychagin multi-bracket  respectively. On comparison of this method with differential Gröbner basis see .
A documentation is not ready yet.
The most convinient way to install Brackets package is to copy file ‘brackets.mla’ to the subdirectory ‘lib’ of your Maple installation directory. You can obtain path to this directory by running Maple command
sudo cp ~/Downloads/brackets.mla /opt/maple2016/lib/
Mac OS X
Run your favourive terminal emulator like built-in Terminal app or iTerm. Then
sudo cp ~/Downloads/brackets.mla /Library/Frameworks/Maple.framework/Versions/2016/lib/
You may need to change Maple installation path according to your actual Maple version.
Using Explorer copy file ‘brackets.mla’ to your Maple installation directory, e.g. ‘C:\Program Files\Maple 2016\lib’.
You may freely use Brackets package for educational, personal and commercial purposes. But you may not decompile package or perform any reverse engineering of it.
Will be available soon.
- Functions Brackets package provides work correctly with “JetNotation2” setting only, hence the following line
DifferentialGeometry:-Preferences( "JetNotation", "JetNotation2" ):
must be put in your Maple program.
- Kruglikov, B. & Lychagin, V. Mayer brackets and solvability of PDEs—I, Differential Geometry and its Applications, Elsevier BV, 2002, 17, 251–272.
- Kruglikov, B. & Lychagin, V. Compatibility, Multi-brackets and Integrability of Systems of PDEs Acta Applicandae Mathematicae, Springer, 2010, 109, 151.
- Kruglikov B., Note on two compatibility criteria: Jacobi–Mayer bracket vs. differential Gröbner basis, Lobachevskii J. Math., 23, 2006, 57–70
Suggestions, questions, comments etc are welcome at email@example.com.