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A comparison of four approaches to the calculation of conservation laws. (English) Zbl 1002.35008
The author discusses four different approaches to determine conservation laws for a given differential equation. Emphasis is put on computational aspects. All approaches are implemented in the computer algebra system Reduce and tried on a number of examples; the main example is the sine-Gordon equation. Finally, the authors briefly touches on nonlocal conservation laws and differential equations with parameters.

MSC:
35A30 Geometric theory, characteristics, transformations in context of PDEs
68W30 Symbolic computation and algebraic computation
Software:
CONDENS
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