Families of nonsingular soliton solutions of a nonlocal Schrodinger-Boussinesq equation

Nonlocal nonlinear evolution equations with self-induced parity-time symmetric potential have received intensive attention, due to their good applications in nonlinear optics. A nonlocal Schrodinger-Boussinesq equation is proposed in this paper. By using the Hirota bilinear method and the Kadomtsev-Petviashvili hierarchy reduction method, explicit soliton solution with the nonzero boundary condition is succinctly constructed in terms of determinant. Typical dynamics and asymptotic behaviours of three types of two-soliton solutions are discussed in detail.