Boreskov Institute of Catalysis of the Siberian Branch of Russian ...

⎧f⎪⎨f⎪⎩f123( и) k1PCO( 1− θCO− θO− θO) −v( и) = 4k P ( 1− θ − θ − θ )( )=−1θCOи = k42θOO2− 4k5θCOCOθOVO.Ovk2− 4k3− 4kθCOθ3OθCOθ− k4Oθ− 4kO,5θCOθOV,PP-II-8(2)Two types of solutions are of interest: spatially homogeneous steady states and localizedstructures. Since localized structures (pulses) do not change their shape and propagate withconstant velocity, they are described by the following equation:2∂ и ∂и= F v +∂ η ∂ η( и,v) = D + f( и)02, (3)subject to specific boundary conditions. Here,η = x − vt is a new coordinate in a co-movingframe, v – velocity of pulse propagation. If v=0, the immobile localized structures aredescribed.Fig. 1. Dependence of the pulse propagating velocity on CO partial pressure;k 1 =1; k -1 =0.2; k 2 P O2 =0.5; k 3 =250; k 4 =0.03; k 5 =0.02; d 1 =100, d 2 =d 3 =0.01Figure 1 shows an example of parameter continuation using P CO as a bifurcationparameter. Here, the stable (unstable) branches are shown by solid (dashed) curves. Two maintypes of stable traveling pulses were found. The first type, existing at relatively low COpressures (P CO