Point Symmetries of Generalized Toda Field Theories II Applications of the Symmetries

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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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.

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