Inverse Scattering Transform Of A Generalized Volterra Equation

The inverse scattering transform is applied to study a generalized Volterra Lattice with nonzero boundary condition.The spectral analytic properties of the spectral problem concerned with the GV equation are obtained and then the corresponding Jost functions are introduced.The analytic properties of Jost functions are discussed by series expan-sion method and the asymptotic behaviour of Jost functions are further discussed.The Riemann-Hilbert problem is constructed.The potentials are reconstructed from the scat-tering data by the projector operators.