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4 papers · 2 filters
Symmetries of Toda Equations
Pantelis A. Damianou
We find a sequence consisting of time dependent evolution vector fields whose time independent part corresponds to the master symmetries for the Toda equations. Each master symmetr…
Multiple Hamiltonian Structures for Toda-type systems
Pantelis A. Damianou
Results on the finite nonperiodic Toda lattice are extended to some generalizations of the system: The relativistic Toda lattice, the generalized Toda lattice associated with simpl…
Neumann domination for the Yang-Mills heat equation
Nelia Charalambous, Leonard Gross
Long time existence and uniqueness of solutions to the Yang-Mills heat equation have been proven over a compact 3-manifold with boundary for initial data of finite energy. In the p…
Group classification of variable coefficient K(m,n) equations
Kyriakos Charalambous, Olena Vaneeva, Christodoulos Sophocleous
Lie symmetries of K(m,n) equations with time-dependent coefficients are classified. Group classification is presented up to widest possible equivalence groups, the usual equivalenc…