Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1998-01-26
Nonlinear Sciences
Exactly Solvable and Integrable Systems
To appear in Proceedings of Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation (June 1-
Scientific paper
Methods for the computation of invariants and symmetries of nonlinear evolution, wave, and lattice equations are presented. The algorithms are based on dimensional analysis, and can be implemented in any symbolic language, such as Mathematica. Invariants and symmetries are shown for several well-known equations. Our Mathematica package allows one to automatically compute invariants and symmetries. Applied to systems with parameters, the package determines the conditions on these parameters so that a sequence of invariants or symmetries exists. The software can thus be used to test the integrability of model equations for wave phenomena.
Goktas Unal
Hereman Willy
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