Özet:
In this article, the exact-special solutions of the nonlinear dispersion Drinferd-Sokolov (shortly D(m, n)) system are analyzed. We use the ansatz approach and the He's variational principle for the mentioned equation. The general formulae for the compactons, solitary patters, solitons and periodic solutions are acquired. These types of solutions are useful and attractive for clarifying some types of nonlinear physical phenomena. These two methods will be used to carry out the integration.