  We address basic properties and stability of two-dimensional solitons in
photonic lattices induced by the nondiffracting Mathieu beams. Such lattices
allow for smooth topological transformation of radially symmetric Bessel
lattices into quasi-one-dimensional periodic ones. The transformation of
lattice topology drastically affects properties of ground-state and dipole-mode
solitons, including their shape, stability and transverse mobility.
