Initial Boundary Value Problem for the Coupled Kundu Equations on the Half-Line

Autor:	Jiawei Hu, Ning Zhang
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	the coupled Kundu equations initial boundary value problem Fokas unified method Riemann–Hilbert problem Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 9, p 579 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13090579
Popis:	In this article, the coupled Kundu equations are analyzed using the Fokas unified method on the half-line. We resolve a Riemann–Hilbert (RH) problem in order to illustrate the representation of the potential function in the coupled Kundu equations. The jump matrix is obtained from the spectral matrix, which is determined according to the initial value data and the boundary value data. The findings indicate that these spectral functions exhibit interdependence rather than being mutually independent, and adhere to a global relation while being connected by a compatibility condition.
Databáze:	Directory of Open Access Journals
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