Soliton-like solutions of the modified Camassa–Holm equation with variable coefficients

Yuliia Samoilenko, Lorenzo Brandolese and Valerii Samoilenko

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: We study soliton- and peakon-like solutions of the modified Camassa–Holm equation with variable coefficients and a singular perturbation. This equation is a direct generalization of the well-known modified Camassa–Holm equation, which is an integrable system having both smooth and peaked soliton solutions, named peakons.

Keywords: Modified Camassa–Holm equation; Soliton solution; Peakon solution; Shallow water models; Singular perturbation; WKB approximations; Fluid dynamics (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924014966
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:192:y:2025:i:c:s0960077924014966

DOI: 10.1016/j.chaos.2024.115944

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. ().