The KdV soliton crosses a dissipative and dispersive border

We demonstrate the behavior of soliton which, while moving in non-dissipative and dispersion-constant medium encounters a finite-width barrier with varying dissipation and/or dispersion; beyond layer dispersion is constant (but not necessarily same value) null. The transmitted wave either retains form (though different parameters) or scatters into number them. And reflection may be negligible absent. This models situation similar to light passing from humid air dry one through vapor saturation/condensation area. Some rough estimations for prediction an output are given using relative decay (or accumulation) KdV conserved quantities dissipative area; particular restriction solitons signal.