He, Liangwei and Chen, Shuanghong (2021) Periodic Wave Solutions and Solitary Wave Solutions of the (2+1)-Dimensional Korteweg-de-Vries Equatio. American Journal of Computational Mathematics, 11 (04). pp. 327-339. ISSN 2161-1203
![[thumbnail of ajcm_2021123014493553.pdf]](http://library.eprintglobalarchived.com/style/images/fileicons/text.png)
ajcm_2021123014493553.pdf - Published Version
Download (3MB)
Abstract
In this paper, we investigate the periodic wave solutions and solitary wave solutions of a (2+1)-dimensional Korteweg-de Vries (KDV) equation by applying Jacobi elliptic function expansion method. Abundant types of Jacobi elliptic function solutions are obtained by choosing different coefficients p, q and r in the elliptic equation. Then these solutions are coupled into an auxiliary equation and substituted into the (2+1)-dimensional KDV equation. As a result, a large number of complex Jacobi elliptic function solutions are obtained, and many of them have not been found in other documents. As , some complex solitary solutions are also obtained correspondingly. These solutions that we obtained in this paper will be helpful to understand the physics of the (2+1)-dimensional KDV equation.
Item Type: | Article |
---|---|
Subjects: | Middle Asian Archive > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 14 Jun 2023 10:56 |
Last Modified: | 08 Jun 2024 09:05 |
URI: | http://library.eprintglobalarchived.com/id/eprint/800 |