- Mathematical Sciences and Applications E-Notes
- Vol: 10 Issue: 4
- Blow-up for a Generalized Dullin-Gottwald-Holm Equation
Blow-up for a Generalized Dullin-Gottwald-Holm Equation
Authors : Nurhan DÜNDAR
Pages : 170-178
Doi:10.36753/mathenot.1001012
View : 7 | Download : 4
Publication Date : 2022-12-22
Article Type : Research
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