From Boussinesq systems to KP-type equations
This short note is to demonstrate that the famous
Kadomtsev-Petviashvilli II-type equation
for water waves which are weakly three-dimensional
and propagating predominantly in one-direction can be derived
the three-dimensional Boussinesq system (see Bona, Chen and Saut (2002)).
The relationship between
relations of Euler equations, Boussinesq systems and KP equations
are also analyzed.
Min Chen (email@example.com)