On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation

Lynnyngs Kelly Arruda

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-21

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:637497

DOI: 10.1155/2010/637497

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