Self-Similar Solutions in the Theory of Underwater Landslide Dynamics in Inclined Canyons

The landslide motion in inclined underwater canyons is described in the framework of basic equations of the gravity driven shallow-water flows. A Coulomb (sliding) friction term is included in the model. The analytical self-similar solutions are obtained in the explicit form. The spatial structure of avalanche that depends on the cross-section of the in- clined channel is studied. Temporal variation of landslide parameters for different cross-sections of the channel is ana- lyzed. Obtained results can be used to test 2D numerical models of landslide motion and tsunami generation by underwa- ter landslides.