☆ 4.7 Article

N-soliton solutions to the multi-component nonlocal Gerdjikov-Ivanov equation via Riemann-Hilbert problem with zero boundary conditions

APPLIED MATHEMATICS LETTERS (2022)

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Summary: This paper studies a new spectral problem and the associated multi-component Gerdjikov-Ivanov (GI) integrable hierarchy based on the zero curvature equation and recursive operators. The bi-Hamiltonian structure of the multi-component GI hierarchy is obtained, showing its integrability. By constructing a class of Riemann-Hilbert (RH) problem with zero boundary, the N-soliton solutions of the integrable system are explicitly obtained.

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