N^th Order Pulse Solitary Wave Solution and Modulational Instability in the Boussinesq Equation

摘要

We look for the n~(th) order exact pulse solitary wave solutions of the Boussinesq equation. For this reason, we define and find out all the solutions of the generalized Boussinesq equation. We later on deduce the solutions of classical Boussinesq equation. The modulational instability of the pulse solitary wave solutions obtained is also investigated in detail by using the Bogning- Djeumen Tchaho- Kofané method.