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Numerical Behaviour of Stable and Unstable Solitary Waves by A. Durán; M.A. López-Marcos is a scholarly article available to read on EtoBox.

What is Numerical Behaviour of Stable and Unstable Solitary Waves about?

In this paper we analyse the behaviour in time of the numerical approximations to solitary wave solutions of the generalized Benjamin-Bona-Mahony equation. This equation possesses an important property: the stability of these solutions depends on their velocity. We identify the error propagation mechanisms in both the stable and unstable case. In particular, we show that in the stable case, numerical methods that preserve some conserved quantities of the problem are more appropriate for the simulation of this kind of solutions.

Author

A. Durán; M.A. López-Marcos

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0168-9274)

Published

2002

Language

EN