Axioms (Aug 2024)

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

  • Jiawei Hu,
  • Ning Zhang

DOI
https://doi.org/10.3390/axioms13090579
Journal volume & issue
Vol. 13, no. 9
p. 579

Abstract

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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.

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