On the solitary roll-waves on an inclined plane and their stabilityстатья
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Аннотация:The system of Dressler hydraulic equations is presented for description of 3D perturbations. Dressler’s idea about an absence of solution singularity was considered for investigation of tolerance of the 2D roll-waves for 2D and 3D perturbations; the spectra were plotted. The result on stability of stationary roll-waves of the soliton type was obtained.The work was financially supported by the Russian Foundation for Basic Research (grant No. 05-08-33585-a).