Abstract
Based on a [Formula: see text] matrix [Formula: see text] problem, we have obtained the Lax pair by constructing a spectral transformation matrix. The Hirota equation with self-consistent sources is derived by considering the nonanalytic part of the dispersion relation. Furthermore, explicit solutions including N-soliton solutions are computed by [Formula: see text]-dressing method, and N-soliton solutions of the Hirota equation with self-consistent sources are obtained by using the properties of Cauchy matrix. The dynamic behavior of soliton solutions is analyzed.
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