A Conservation Law Treatment of Nonlinear KdV Hierarchies

Sameerah Jamal, Rivoningo Maphanga and Naihuan Jing

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: We study the hierarchy commonly defined as an infinite sequence of partial differential equations which begins with the Korteweg–de Vries equation and its modified version. An important feature of the hierarchy is its highly nonlinear property. In this regard, obtaining solutions for the members of the hierarchy poses a great problem. In this paper, we propose a method to allow for the construction of solutions to the full hierarchy. Our approach involves a recursion operator in the conservation law of the hierarchy. The efficiency of the method is demonstrated by selected examples. In certain cases, we obtain snoidal solutions.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2022/5378853.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2022/5378853.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5378853

DOI: 10.1155/2022/5378853

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().