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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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