Variational principle for singular waves

Chun-Hui He and Chao Liu

Chaos, Solitons & Fractals, 2023, vol. 172, issue C

Abstract: A variational formulation is extremely difficult to be established for a strongly nonlinear problem, and it is almost impossible for a singular differential equation without linear terms. This paper gives a universal approach to the establishment of a variational formulation of a singular travelling wave by the semi-inverse method. The basic properties of rogue waves are elucidated in an energy frame, and a Hamilton-like conversation law is proposed, which can be used for numerical treatment at the singular point.

Keywords: Variational principle; Semi-inverse method; Euler-Lagrange equation; Rogue wave (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923004678
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:172:y:2023:i:c:s0960077923004678

DOI: 10.1016/j.chaos.2023.113566

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().