sigma07-042. 355KB Jun 04 2011 12:10:02 AM
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By considering the fact that several of the translations on the lattice of connection preserving deformations present equivalent evolution equations, we recover an automorphism
Another possible method for constructing extra commuting operators is the multidimensional Darboux transformation, because the commuting operator for the case of Heun’s equation is
Separation of equations for a rolling axially symmetric sphere is a known fact [13, 2, 6] but detailed analysis of all possible rolling motions of the tippe top, as labeled here
In the subsequent sections we apply the basic definition to the following partial differential equations and systems: nonlinear Poisson equations, p-Laplace equations,
In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body
Moreover, the complex projection of quasianti-Hermitian quaternionic dynamics is considered in Section 4, where the subclass of quasianti-Hermitian quaternionic Hamiltonian
The Lagrangian and Hamiltonian formulations of dynamical systems give a way to make the re- lation between symmetries and conserved quantities more precise and thereby provide a
As for the Schwarzschild metric, where there is a difference between the conservation laws obtained for the system of geodesic equations and for the single orbital equation,
