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Keywords = the coupled Kundu equations

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28 pages, 361 KB  
Article
Initial Boundary Value Problem for the Coupled Kundu Equations on the Half-Line
by Jiawei Hu and Ning Zhang
Axioms 2024, 13(9), 579; https://doi.org/10.3390/axioms13090579 - 26 Aug 2024
Cited by 1 | Viewed by 901
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Topic Advances in Nonlinear Dynamics: Methods and Applications)
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