New exact periodic solitary-wave solution of MKdV equation

In this paper, a new test technique, extended homoclinic test method, was used to seek for the new exact periodic solitary-wave solutions of the modified Korteweg-de Vries (MKdV) equation. This result reveals that it is entirely possible for some integrable nonlinear equations to obtain exact periodic solitary-wave solutions using the extended homoclinic test method.