Fig 1.
The wave solution of (4.1.7A), Illustration the kink shape presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of with interval 0<x<10 and 0<t<10.
Fig 2.
Structure of singular-kink form wave result for (4.1.7A), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of with interval 0<x<10 and 0<t<10.
Fig 3.
The wave solution (4.1.12B), presenting the single soliton shape and define the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<1050 and 0<t<100.
Fig 4.
Structure of the multiple soliton form solution of traveling wave (4.1.11B), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<800 and 0<t<2000.
Fig 5.
The wave solution (4.2.8), Illustration of the multiple soliton shape that presenting the 3D plotline (a), contour plot (b), three-dimensional listpoint plotline (c) and vector plot (d) of with interval 0<x<28450 and 0<t<1000.
Fig 6.
Structure of solution (4.1.7B) is the bell shape wave, presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<10 and 0<t<33.
Fig 7.
The diagram shows the singular bell form wave result (4.2.10), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<100 and 0<t<25.
Fig 8.
Structure of the triple soliton shape wave result (4.1.8B), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<350 and 0<t<1500.
Fig 9.
The wave solution (4.2.9), Structured of the double soliton shape presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<10000 and 0<t<100.
Fig 10.
The singular periodic shape wave result of (4.1.10A), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<20 and 0<t<10.
Fig 11.
Figure of the imaginary wave result (4.1.13A), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<10 and 0<t<40.
Fig 12.
Structure of the imaginary wave solution (4.1.13B), presenting the 3D plotline (a), contour plot (b), 3D listpoint plotline (c) and vector plot (d) of (x, t) with interval 0<x<20 and 0<t<500.