Blow-up for a Generalized Dullin-Gottwald-Holm Equation

Year 2022, Volume: 10 Issue: 4, 170 - 178, 22.12.2022

Nurhan Dündar

Abstract

In this paper, the blow up of solutions for a generalized version of the Dullin-Gottwald-Holm equation which is a nonlinear shallow water wave equation is studied. The precise blow-up scenario and a result of blow-up solutions are described. The blow-up occurs as wave breaking. This means the solution (representing the wave) remains bounded but its slope becomes infinite in finite time. We use an approach devised in [1].

Keywords

Generalized Dullin-Gottwald-Holm equation, shallow water wave, blow-up

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