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

Authors : Nurhan DÜNDAR

Pages : 170-178

Doi:10.36753/mathenot.1001012

View : 29 | Download : 13

Publication Date : 2022-12-22

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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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