| In this paper,the periodic solutions and orbital stability of the perturbed Boussinesq equation are studied.Firstly,the partial differential equation is transformed into ordinary differential equation by linear transformation,and then the periodic traveling wave solutions are obtained by the trial function method.Finally,we prove that the periodic traveling wave solutions of the good Boussinesq equation are orbit stable by using Grillakis-Shatah-Strauss. |
PDF Full Text Request