Blow-up to a shallow water wave model including the Degasperis-Procesi equation

A nonlinear equation, depicting motions of shallow water waves and including the famous Degasperis-Procesi model, is considered. The key element is that we derive $ L^2 $ conservation law of solutions for the nonlinear equation, which leads to the bound of the solution itself. Using several estimate...

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Bibliographic Details
Main Authors: Jin Hong, Shaoyong Lai
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231296?viewType=HTML