Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-04-12
J.Phys.A33:6431-6446,2000
Nonlinear Sciences
Exactly Solvable and Integrable Systems
26 pages, no figures
Scientific paper
10.1088/0305-4470/33/36/311
The Lie symmetries of a large class of generalized Toda field theories are
studied and used to perform symmetry reduction. Reductions lead to generalized
Toda lattices on one hand, to periodic systems on the other. Boundary
conditions are introduced to reduce theories on an infinite lattice to those on
semi-infinite, or finite ones.
Lafortune Stephane
Martina Luigi
Winternitz Pavel
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