  Nonlinear electrodynamics model in hypercomplex form is considered. Its
linearization around a solution is obtained. The appropriate problem for linear
waves around static dyon solution (SDS) of Born-Infeld electrodynamics is
investigated. Two types of wave scattering on SDS are considered: dissipative
(with momentum transmission from plane wave to SDS) and non-dissipative (for
SDS imbedded to an equilibrium wave background). Resonance phenomenon in the
problem is discovered and some resonance frequencies are obtained by using a
numerical method. The form of resonance wave modes are discussed. The sum of a
plane wave (as the elementary component of the wave background) with one
resonance mode is considered. The appropriate energy density is investigated at
infinity. The averaged energy density is demonstrated to have the term
proportional to inverse radius. This fact allow to consider such field
configurations as the cause of gravitational interaction, taking into account
the effective Riemann space effect discovered in my previous works. A behavior
of the linearized solution at origin of coordinates and the problem beyond the
linearization are discussed.
