Exact solutions and bifurcations of the new (3+1)-dimensional generalized Kadomstev-Petviashvili equation

被引：0

作者：

Meng, Hui ^{[1
]}

Zheng, Zhen ^{[1
]}

Zhang, Jing ^{[1
]}

Wang, Zenggui ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China

来源：

PHYSICA SCRIPTA | 2025年 / 100卷 / 01期

关键词：

bifurcations; (3+1)-dimensional generalized KP equation; exact solution; the modified extended tanh-function method; the generalized Riccati equation mapping method; the improved (G '/G) method; LIE SYMMETRY ANALYSIS; TANH-FUNCTION METHOD; IMPROVED (G'/G)-EXPANSION; SOLITON-SOLUTIONS; SYSTEM; TRANSFORMATION;

D O I：

10.1088/1402-4896/ad9781

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact solutions of the new generalized (3+1)-dimensional Kadomtsev-Petviashvili (ngKP) equation by using the modified extended tanh-function method, the improved ( G '/G ) method and the generalized Riccati equation mapping method are considered. Different types of exact traveling wave solutions are obtained, enriching the exact solutions of this equation. In addition, the dynamical behaviors of the different types of solutions obtained by the equation are graphically presented using 3D, 2D and density plots. Then, the phase portraits of the equations are obtained through the bifurcation theory to verify the validity of the previous three methods. Finally, the comparison between our results and the known results is given, it can be concluded that we have provided a large number of new travelling wave solutions to the equation.

引用

页数：19

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