On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations (Q780078)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations |
scientific article; zbMATH DE number 7220564
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations |
scientific article; zbMATH DE number 7220564 |
Statements
On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations (English)
0 references
15 July 2020
0 references
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.
0 references
generalized shallow water equation
0 references
Kodomtsev-Petviashvili equation
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
