Construction of Multi-soliton Solutions of the N-Coupled Hirota Equations in an Optical Fiber
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摘要:
This work aims to study the N-coupled Hirota equations in an optical fiber under the zero boundary condition at infinity.By analyzing the spectral problem,a matrix Riemann-Hilbert problem on the real axis is strictly established.Then,by solving the presented matrix Riemann-Hilbert problem under the constraint of no reflection,the bright multi-soliton solutions to the N-coupled Hirota equations are explicitly gained.