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On the complex properties of the first equation of the Kadomtsev-Petviashvili hierarchy

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31 oct 2023

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Fig. 1

3D graphs of imaginary and real part of equation (26)
3D graphs of imaginary and real part of equation (26)

Fig. 2

Contour graphs of imaginary and real part of equation (26)
Contour graphs of imaginary and real part of equation (26)

Fig. 3

2D graphs of imaginary and real part of equation (26)
2D graphs of imaginary and real part of equation (26)

Fig. 4

3D graphs of imaginary and real part of equation (27)
3D graphs of imaginary and real part of equation (27)

Fig. 5

Contour graphs of imaginary and real part of equation (27)
Contour graphs of imaginary and real part of equation (27)

Fig. 6

2D graphs of imaginary and real part of equation (27)
2D graphs of imaginary and real part of equation (27)

Fig. 7

The 3D and contour surfaces of equation (28)
The 3D and contour surfaces of equation (28)

Fig. 8

The 3D and contour surfaces of equation (29)
The 3D and contour surfaces of equation (29)

Fig. 9

3D graphs of imaginary and real part of equation (30)
3D graphs of imaginary and real part of equation (30)

Fig. 10

Contour graphs of imaginary and real part of equation (30)
Contour graphs of imaginary and real part of equation (30)

Fig. 11

The 3D surfaces of equation (33)
The 3D surfaces of equation (33)

Fig. 12

The contour surface of equation (33)
The contour surface of equation (33)

Fig. 13

The 2D surface of equation (33)
The 2D surface of equation (33)

Fig. 14

The 3D surfaces of equation (34)
The 3D surfaces of equation (34)

Fig. 15

The contour surface of equation (34)
The contour surface of equation (34)

Fig. 16

The 2D surface of equation (34)
The 2D surface of equation (34)