Solitary-wave and multi-pulsed
traveling-wave solutions of Boussinesq systems
This paper studies traveling-wave solutions of the
partial differential equations which model
waves in a horizontal water channel traveling in both directions.
The existence of solitary-wave solution on a number of systems
is proved; the multi-pulsed
traveling-wave solutions with any number of troughs are
found numerically;
the bifurcation diagrams of
these solutions with respect to phase speed
and with respect to system
parameters are presented.
Min Chen (chen@math.purdue.edu)