TRAVELLING WAVE SOLUTIONS FOR DOUBLY DEGENERATE REACTION–DIFFUSION EQUATIONS

M. B. A. MANSOUR
2010 ANZIAM journal (Print)  
This paper concerns a nonlinear doubly degenerate reaction-diffusion equation which appears in a bacterial growth model and is also of considerable mathematical interest. A travelling wave analysis for the equation is carried out. In particular, the qualitative behaviour of both sharp and smooth travelling wave solutions is analysed. This travelling wave behaviour is also verified by some numerical computations for a special case. 2000 Mathematics subject classification: primary 35K65, secondary 92B05.
doi:10.1017/s144618111100054x fatcat:ocjxlnpet5gftior3kmzykr7ui