RIACA Technical Report No. 2

An algorithmic approach to conservation laws using the 3-dimensional Heisenberg algebra

Jan Sanders (jansa@can.nl) and
Marcel Roelofs (roelofs@can.nl)

November 1994


We describe an algorithmic approach to computing polynomial conservation laws of systems of polynomial evolution equations in 1 + 1 variables with time and space dependent coefficients. The approach is based on the extension of the total derivative operator to an Heisenberg algebra. This allows us to invert the total derivative on its image. It is shown that the differential functions in the direct summand of the image of the total derivative can be identified with the classical covariants of . We conclude with various generalizations to systems with more independant variables and to differential forms

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