Some reduction and exact solutions of a higher-dimensional equation (Q1724488)
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: Some reduction and exact solutions of a higher-dimensional equation |
scientific article; zbMATH DE number 7022689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some reduction and exact solutions of a higher-dimensional equation |
scientific article; zbMATH DE number 7022689 |
Statements
Some reduction and exact solutions of a higher-dimensional equation (English)
0 references
14 February 2019
0 references
Summary: The conservation laws of the \((3 + 1)\)-dimensional Zakharov-Kuznetsov equation were obtained using Noether's theorem after an interesting substitution \(u = v_x\) to the equation. Then, with the aid of an obtained conservation law, the generalized double reduction theorem was applied to this equation. It can be verified that the reduced equation is a second order nonlinear ODE. Finally, some exact solutions of the Zakharov-Kuznetsov equation were constructed after solving the reduced equation.
0 references
0 references
0 references
0.8667672276496887
0 references
0.8573116064071655
0 references
0.8336842060089111
0 references
0.8331856727600098
0 references
0.828109860420227
0 references
