The bound states of pure-quartic solitons

Jiaxin Dai, Jiali Zeng, Wei Hu and Daquan Lu

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: In this paper, we quantitatively study the equilibrium bound state and the oscillating bound state of pure-quartic solitons (PQSs). Based on the Lagrangian of the system, we obtain the analytic expression of the effective interaction potential, which makes it convenient to predict the critical separation between the interacting PQSs in the equilibrium bound state. Furthermore, we study the oscillation period of PQSs in the oscillating bound state by making an analogy between the evolution of PQS pair and the motion of the Newtonian particle in a potential well. The effective mass and the effective force are derived, and thereby the semianalytic expression of the oscillation period is obtained. The results are useful for gaining a physical insight into the evolution of the interacting PQSs in the two types of bound states.

Keywords: Pure-quartic solitons; Bound states; Variational approach; Soliton interaction (search for similar items in EconPapers)
Date: 2022
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/S0960077922010463
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:165:y:2022:i:p2:s0960077922010463

DOI: 10.1016/j.chaos.2022.112867

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. ().