On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations
type: Item
instance of: scholarly article
title: On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations
zbMATH Open document ID: 1443.35018
DOI: 10.1155/2020/5740310
author: Fan-Ning Meng
author: Yongyi Gu
published in: Journal of Function Spaces
publication date: 2020-07-15T00:00:00Z
review text: Summary: In this article, exact solutions of two \((3+1)\)-dimensional nonlinear differential equations are derived by using the complex method. We change the \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and generalized shallow water (gSW) equation into the complex differential equations by applying traveling wave transform and show that meromorphic solutions of these complex differential equations belong to class \(W\), and then, we get exact solutions of these two \((3+1)\)-dimensional equations.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35G20
zbMATH DE Number: 7220564
zbMATH Keywords: generalized shallow water equation
zbMATH Keywords: Kodomtsev-Petviashvili equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5740310
OpenAlex ID: W3036731365
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description: scientific article; zbMATH DE number 7220564