Abstract
This paper is concerned with the nonlinear stability of periodic traveling wave solutions for the coupled Benjamin-Bona-Mahony system. We show the existence of a family of dnoidal type traveling waves. We find conditions on parameters of the waves which imply the nonlinear stability of periodic traveling waves.
Citation
Sevdzhan Hakkaev. "Nonlinear Stability of Periodic Traveling Waves of the BBM System." Commun. Math. Anal. 15 (2) 39 - 51, 2013.
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