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

作者：

Highlights：

• The unified transformation method is used to solve the initial-boundary value problem of the three-coupled Hirota equation with 4 × 4 matrix Lax pairs on the half-line.

• Show that the solution of the three-coupled Hirota equation can be represented in terms of the solution of a 4 × 4 matrix Riemann-Hilbert problem.

• The spectral functions are not independent, but related by a compatibility condition, the so-called global relation.

摘要

•The unified transformation method is used to solve the initial-boundary value problem of the three-coupled Hirota equation with 4 × 4 matrix Lax pairs on the half-line.•Show that the solution of the three-coupled Hirota equation can be represented in terms of the solution of a 4 × 4 matrix Riemann-Hilbert problem.•The spectral functions are not independent, but related by a compatibility condition, the so-called global relation.

论文关键词：Three-coupled Hirota system,Riemann-Hilbert problem,Initial-boundary value problems,Unified transform method

论文评审过程：Received 22 January 2021, Revised 9 April 2022, Accepted 23 April 2022, Available online 5 May 2022, Version of Record 5 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127202