Stability for the modified and fourth-order Benjamin-Bona-Mahony equations
Stability for the modified and fourth-order Benjamin-Bona-Mahony equations
In this work we establish new results about the existence ofsmooth, explicit families of periodic traveling waves for themodified and fourth-order Benjamin-Bona-Mahony equations. We alsoprove, under certain conditions, that these families arenonlinearly stable in the energy space. The techniques employedmay be of further use in the study of the stability …