Supersymmetric $\cos\Phi_2$ model and the inverse scattering technique

The direct scattering problem is considered for a linear system whose condition of integrability is the supersymmetric sine-Gordon equation. The properties of the Jost solutions and the scattering data are studied and expressions are obtained for an infinite number of boson and fermion integrals of the motion in terms of the fields and the scattering data. Factorization of soliton scattering is proved.