International Journal of Frontiers in Sociology, 2021, 3(13); doi: 10.25236/IJFS.2021.031315.

## Rogue Wave Solutions of the (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation

Author(s)

Fu-Fu Ge

Corresponding Author:
Fu-Fu Ge
Affiliation(s)

Foundation Department, Xuzhou Vocational College of Industrial Technology, Xuzhou 221140, People's Republic of China

### Abstract

The rogue wave solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation are constructed by Hirota bilinear method and symbolic computation approach. By choosing proper polynomial function, the first, the second and the third order rogue wave solutions are systematically obtained. The maximum amplitude and the minimum amplitude of the first order rogue wave solution are given. Moreover, the first three order generalised rogue wave solutions are also explicitly presented. Finally, some features of rogue wave solutions are graphically discussed.

### Keywords

The generalized Kadomtsev-Petviashvili equation, Symbolic computation approach, Rogue wave solution, Generalised rogue wave solution

### Cite This Paper

Fu-Fu Ge. Rogue Wave Solutions of the (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation. International Journal of Frontiers in Sociology (2021), Vol. 3, Issue 13: 95-105. https://doi.org/10.25236/IJFS.2021.031315.

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