  Proper knowledge of velocity is required in accurately determining enormous
destructive energy of a landslide. We present the first physics-based general
analytical landslide velocity model that incorporates internal deformation and
external forces: net driving force and viscous resistant. The model stands as a
novel non-linear advective-dissipative system where classical Voellmy and
inviscid Burgers' equation are specifications. Non-linear advection and
external forcing fundamentally regulate the motion which substantially enhances
our understanding of a coherently deforming landslide. Since analytical
solutions provide fastest, cost-effective and best rigorous answer to the
problem, we construct several new/general exact analytical solutions covering
wider spectrum of landslide velocity. New solutions bridge existing gap between
negligibly and massively deforming landslides. This provides a novel, rapid and
consistent method for efficient coupling of different types of mass transports.
Mechanism of landslide advection, stretching and approaching to steady-state
has been explained. Shifting, up-lifting and stretching of velocity field stem
from forcing and advection. Our solution describes fascinating breaking wave
and emergence of landslide folding. This happens as the solution simultaneously
introduces domain propagation, velocity up-lift and non-linear advection.
Domain translation and stretching depends on net driving force and viscous drag
controls shock wave generation, wave breaking, folding and velocity. Landslide
dynamics are architectured by advection and reigned by system forcing.
Analytically obtained velocities are close to observed values, constituting a
new foundation of landslide velocity. This provides the practitioners with key
information in instantly/accurately estimating impact force that is important
in delineating hazard zones and mitigation of landslide hazards.
