Slow solitary waves in multi-layered magnetic structures

The propagation of slow sausage surface waves in a multi-layered magnetic c onfiguration is considered. The magnetic configuration consists of a centra l magnetic slab sandwiched between two identical magnetic slabs (with equil ibrium quantities different from those in the central slab) which in turn a re embedded between two identical semi-infinite regions. The dispersion equ ation is obtained in the linear approximation. The nonlinear governing equa tion describing waves with a characteristic wavelength along the central sl ab much larger than the slab thickness is derived. Solitary wave solutions to this equation are obtained in the case where these solutions deviate onl y slightly from the algebraic soliton of the Benjamin-Ono equation. (C) 200 1 American Institute of Physics.