| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758337 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 9 Pages |
Abstract
⺠We develop the Marsden-Weinstein reduction method for constructing Lax type integrable dynamical systems. ⺠Based on the Lie-algebraic approach a new so called D-structure is devised. ⺠There is described a relationship between the D-structure versus the classical R-structure. ⺠The reduced Poisson structure is calculated, an infinite hierarchy of commuting invariants is constructed.
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Authors
Yarema A. Prykarpatsky,