The authors discuss the effect of the terms \(u^ m\) and \(u^ p\) on the blow-up properties of the solutions of \[ u_ t-(u^ mu_ x)_ x = u^ p,\quad -R0, \] \[ u(x,0)=\varphi(x),\quad -R0, \] \(p>0\) is a positive constant, \(m\geq 1\) is an integer, and it is assumed that \[ \varphi (x)\in C^{2+\alpha}([- R,R]),\text{ for some } \alpha >0,\quad \varphi(x)\geq 1,\quad \varphi(\pm R)=1, \] \[ -d/dx[\varphi^ md\varphi/dx ]_{x=\pm R}=1. \] The main results are: (i) If \(pm+1\), then there exists a unique solution \(u\) for \(0\pi/2\sqrt{m+1}\), then the solution blows up in a finite time and the blow-up set is the interval \((-\pi/2\sqrt{m+1},\pi/2\sqrt{m+1})\). References include 16 items.