N-soliton solutions of coupled Schrödinger-Boussinesq equation with variable coefficients

In this paper, soliton solutions of the coupled variable coefficients Schr & ouml;dinger-Boussinesq equation, which describes the stationary propagation of coupled upper-hybrid waves and magnetoacoustic waves in a magnetized plasma, are investigated. Based on the Hirota bilinear method, the bilinear form, one, two, three and N-soliton solutions of Schr & ouml;dinger-Boussinesq equation are derived. By means of numerical calculation, the specific figures of different soliton solutions are obtained by selecting different coefficients. The propagation and interaction of the soliton solutions are analyzed graphically.