Work

Sufficient conditions of blowup to a shallow water wave equation

Year: 2024

Type: article

Abstract: The blow-up features of a shallow water wave equation on the line R are investigated. The L2 conservation law is utilized to derive several estimates of solutions for the equation. Sufficient conditions for wave breaking and lifespan of the solutions are established. Our main results contain parts of the wave breaking conditions for the Fornberg–Whitham and Degasperis–Procesi equations in the previous literatures.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2024.100487

Authors: Changtai Zhou, Jin Hong, Shaoyong Lai

Institutions: Yili Normal University, Southwestern University of Finance and Economics

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,490

Funders: National Natural Science Foundation of China, Yili Normal University