On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation

초록

The Benjamin-Bona-Mahony equation (BBM) is introduced as a regularization of the Korteweg-de Vries equation (KdV) for long water waves [T.B. Benjamin, J.L. Bona, and J.J. Mahony, Philos. Trans. Roy. Soc. London Ser. A 272(1220) (1972), pp. 47–78]. In this paper, we establish the convergence from the BBM to the KdV for energy class solutions. As a consequence, employing the conservation laws, we extend the known temporal interval of validity for the BBM regularization. © 2025 Elsevier Inc.

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