Dergiler / Mathematical Sciences and Applications E-Notes / 2022 / Cilt: 10 - Sayı: 4

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

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

Nurhan DÜNDAR

Sayfa
170–178
DOI
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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].