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P. Liu
Fig. 3.98 Solitary wave solution of KdV equation
where A is the height of the isolated wave. Its solution is
η
H
=
A
H
sec h
2
3A
4H
x − at
H
The solitary wave surface distribution curve calculated by this formula is
plotted in Fig. 3.98.
3.9 Applications in Hydraulics
Hydraulics is an applied science. The topics studied are from production practices and are closely related to engineering technology. The main
application areas are as follows:
3.9.1 Water Resources and Hydropower Engineering
Water conservancy and hydropower engineering is one of the oldest engineering sciences. In flood control projects, data such as flood storage capacity,
flood discharge capacity, and levee height need to be determined; flood forecasting needs to know the flood operation law; industrial development must
prevent pollution of rivers, and these problems can be solved by studying
open channel flow (as shown in Figs. 3.99 and 3.100). The aerated water
flowing down through the high dam has great kinetic energy and will cause
erosion. Various different forms of energy dissipaters must be established (as
P. Liu
Fig. 3.98 Solitary wave solution of KdV equation
where A is the height of the isolated wave. Its solution is
η
H
=
A
H
sec h
2
3A
4H
x − at
H
The solitary wave surface distribution curve calculated by this formula is
plotted in Fig. 3.98.
3.9 Applications in Hydraulics
Hydraulics is an applied science. The topics studied are from production practices and are closely related to engineering technology. The main
application areas are as follows:
3.9.1 Water Resources and Hydropower Engineering
Water conservancy and hydropower engineering is one of the oldest engineering sciences. In flood control projects, data such as flood storage capacity,
flood discharge capacity, and levee height need to be determined; flood forecasting needs to know the flood operation law; industrial development must
prevent pollution of rivers, and these problems can be solved by studying
open channel flow (as shown in Figs. 3.99 and 3.100). The aerated water
flowing down through the high dam has great kinetic energy and will cause
erosion. Various different forms of energy dissipaters must be established (as