| Volume 10, Number 3, 2020, Pages 960-971 DOI：10.11948/20190172 |
| Interaction solutions and abundant exact solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics |
| Jian-Guo Liu,Wen-Hui Zhu,Li Zhou |
| Keywords:Interaction solutions, bilinear form, exact solutions, dynamical properties. |
| Abstract: |
| In this work, we present the interaction solutions and abundant exact solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation based on the Hirota''s bilinear form and a direct function. The obtained interaction solutions contain the interaction between the rational function and the $\tanh$ function and the interaction between the rational function and the $\cos$ function. The dynamical properties of these resulting solutions are analyzed and shown in three-dimensional plots, corresponding contour graphs and plane figures. |
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