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The step bunching instability is studied in three models of step motiondefined in terms of ordinary differential equations (ODE). The source ofinstability in these models is step-step attraction, it is opposed by step-steprepulsion and the developing surface patterns reflect the balance between thetwo. The first model, TE2, is a generalization of the seminal model of Tersoffet al. (1995). The second one, LW2, is obtained from the model of Liu and Weeks(1998) using the repulsions term to construct the attractions one with retainedpossibility to change the parameters in the two independently. The third model,MM2, is a minimal one constructed ad hoc and in this article it plays a centralrole. New scheme for scaling the ODE in vicinal studies is applied towardsdeciphering the pre-factors in the time-scaling relations. In all these modelsthe patterned surface is self-similar - only one length scale is necessary todescribe its evolution (hence B1-type). The bunches form finite angles with theterraces. Integrating numerically the equations for step motion and changingsystematically the parameters we obtain the overall dependence of time-scalingexponent \b{eta} on the power of step-step attractions p as \b{eta} = 1/(3+p)for MM2 and hypothesize based on restricted set of data that it is \b{eta} =1/(5+p) for LW2 and TE2.

Time Scaling Relations for Step Bunches from Models with Step-Step Attractions (B1-Type Models)