Interaction phenomenon for variable coefficient Kadomtsev-Petviashvili equation by utilizing variable coefficient bilinear neural network method
Exactly Solvable and Integrable Systems
2023-01-25 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
In this paper, a variable coefficient Bilinear neural network method is proposed to deal with the analytical solutions of variable coefficient nonlinear partial differential equations. As an example, a Kadomstev-Petviashvili equation with variable coefficients is investigated by using the variable coefficient Bilinear neural network method. By establishing "3-2-2-1" and "3-3-2-1" models respectively, rich analytical solutions of the variable coefficient Kadomstev-Petviashvili equation are obtained. By choosing some special values of the parameters, the dynamics properties are demonstrated in some three-dimensional and density graphics.
Keywords
Cite
@article{arxiv.2301.10069,
title = {Interaction phenomenon for variable coefficient Kadomtsev-Petviashvili equation by utilizing variable coefficient bilinear neural network method},
author = {Jian-Guo Liu and Wen-Hui Zhu},
journal= {arXiv preprint arXiv:2301.10069},
year = {2023}
}
Comments
11 pages, 17 figures