Whitham method for the Benjamin-Ono-Burgers equation and dispersive shocks.
The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of the damped Benjamin-Ono equation. The structure of the dispersive shock is considered in this method.
Matsuno
Y
Y
Division of Applied Mathematical Science, Graduate School of Science and Engineering, Yamaguchi University, Ube 755-8611, Japan. matsuno@yamaguchi-u.ac.jp
Shchesnovich
V S
VS
Kamchatnov
A M
AM
Kraenkel
R A
RA