I. Didenkulova, D.E. Pelinovsky, D. Tyugin, A. Giniyatullin, and E.N. Pelinovsky
Travelling long waves in water rectangular channels of variable cross section
Bulletin of the Moscow State Regional University (Earth Science) 2012 N.5, 89-93 (2012)
A rigorous travelling wave solution in water channels of rectangular cross
section with variable depth and width is obtained in the framework of shallow water theory.
The differential equation connecting depth and width of the channel
for the case of non-reflecting wave propagation is derived. It is shown
that the number of geometries and configurations,
which allow non-reflecting wave propagation, is
unlimited. Thus, the effect of very long-distance wave propagation
is rather common and can play an important role in the
interpretation of the observed extreme inundations caused by
travelling long waves, shallow water theory, rectangular channels.