Nonlinear systems and their applications to the regularized boussinesq system

الملخص EN

In this paper, bifurcation analysis of the cubic nonlinear system has been studied.

It is shown that there is a regular solution in some domains of parameters of a given system, also the Discriminant set of a certain system was found.

The existence and stability of periodic solutions of the regularized Boussinesq system were shown.

Key Words : Local bifurcation theory, Local scheme of Lyapunov-Schmidt, Regularized Boussinesq system.