Papers by Keyword: Periodic Solutions

Abstract: In this paper, the repeated exp-function method is applied to construct exact traveling wave solutions of the (2+1)-dimensional Boussinesq equation. With aid of symbolic computation, many generalized solitary solutions, periodic solutions and other exact solutions are successfully obtained. Thus, it is proved that the method is straightforward and effective to solve the nonlinear evolutions equations.

Abstract: In the paper, by the symmetrical Mountain-Pass lemma in critical point theory, the existence of infinitely anti-and odd periodic solutions with a fixed period is obtained for a class of symmetric superquadratic non-autonomous Hamiltonian systems.