1. Consider the equation with nonlinear propagation and diffusion: u ct + ccx = vcxx vc\"(p)px2,a (1.1).: 9. .J where 6(9) 2 Q'(p) as usual. Show that the ratio of first term to second term in the right-hand side is of the order of amplitude of the disturbance. Also explain its implication in the analysis of the equation