首页|On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a 4? 4 matrix Lax pair
On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a 4? 4 matrix Lax pair
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NSTL
Elsevier
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 xi-plane. Furthermore, we will show that three spectral functions phi (xi ), phi(xi) and psi (xi) are not independent but meet a key relationship, i.e. the so-called global relation. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
