High-frequency surface magnetic polaritons of finite amplitude propaga
ting along the interface between a ferrite and a nonlinear insulator i
n a weakly nonuniform, shaft-shaped external magnetic field are invest
igated theoretically. The analysis is based on employment of the varia
tional method together with bilinear relations having the form of Lore
ntz's lemma. It is shown that the wave dispersion and the transverse p
rofile of a wave along the field nonuniformity depend significantly on
the amplitude of the wave. (C) 1998 American Institute of Physics. [S
1063-7842(98)01809-1].