SC 99-01 Thomas Wolf: A comparison of four approaches to the calculation of
conservation laws
Abstract: The paper compares computational aspects of four approaches
to
compute conservation laws of
single differential equations or systems of them, ODEs and PDEs.
The only restriction, required by two of the four corresponding computer algebra
programs, is that each DE has to be solvable for a leading derivative.
Extra constraints may be given.
Examples of new conservation laws include non-polynomial expressions, an
explicit variable dependence and conservation laws involving arbitrary
functions. Examples involve the following equations:
Ito, Liouville, Burgers, Kadomtsev-Petviashvili,
Karney-Sen-Chu-Verheest, Boussinesq, Tzetzeica, Benney.
MSC: 35-XX, 34-XX