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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, dynamic 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 dynamic properties of these resulting solutions are analyzed and shown in three-dimensional plots, corresponding contour graphs and plane figures.