On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a 4×4 matrix Lax pair

Beibei Hu, Ji Lin and Ling Zhang

Applied Mathematics and Computation, 2022, vol. 428, issue C

Abstract: In this work, we will investigate a complete integrable variable coefficient three-coupled Hirota system, which possesses a generalization of fourth-order matrix spectral problem AKNS type Lax pair. With the help of the unified transform method, the initial-boundary value problems (IBVPs) of the three-coupled Hirota equation on the half-line will be discussed. In other words, one can obtain the solutions of the three-coupled Hirota equation by solving a fourth-order matrix Riemann-Hilbert problem in the complex ξ-plane. Furthermore, we will show that three spectral functions φ(ξ),ϕ(ξ) and ψ(ξ) are not independent but meet a key relationship, i.e. the so-called global relation.

Keywords: Three-coupled Hirota system; Riemann-Hilbert problem; Initial-boundary value problems; Unified transform method (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300322002764
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:apmaco:v:428:y:2022:i:c:s0096300322002764

DOI: 10.1016/j.amc.2022.127202

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().