Title: On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation
Abstract: This paper is concerned with instability of periodic travelling wave solutions of the modified Boussinesq equation. Periodic travelling wave solutions with a fixed fundamental period L will be constructed by using Jacobi′s elliptic functions. It will be shown that these solutions, called dnoidal waves , are nonlinearly unstable in the energy space for a range of their speeds of propagation and periods.