Generalized Bilinear Differential Operators Application in a (3+1)-Dimensional Generalized Shallow Water Equation

Figure 1

A one-periodic wave (50) of the (3+1)-dimensional shallow water wave equation (33) with parameters , , , and . This figure shows that every one-periodic wave is one-dimensional, and it can be viewed as a superposition of overlapping solitary waves, placed one period apart. (a) Perspective view of the periodic wave on -plane. (b) Perspective view of the periodic wave on -plane. (c) Perspective view of the periodic wave on -plane. (d) Wave propagation pattern of the wave along the -axis. (e) Wave propagation pattern of the wave along the -axis. (f) Wave propagation pattern of the wave along the -axis.

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