New homoclinic orbits and soliton solutions for the classical Boussinesq equations

The classical Boussinesq equations are considered.By the linearized stability analysis,the existences of homoclinic orbits for "good" Boussinesq equation and periodic soliton for "bad" Boussinesq equation are proved.And then using the Hirota’s bilinear method,the explicit expressions of new homoclinic orbits and periodic soliton solutions for the classical Boussinesq equations are obtained.