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In this paper, a discrete Hirota equation is analytically investigated. The N -fold Darboux transformation (DT) is constructed based on the Lax pair for the equation. In addition, the discrete N -soliton solutions under the vanishing background are derived. Especially, the dynamic features of one-soliton and two-soliton solutions are displayed through figures.
In this paper, a coupled Hirota system with higher-order effects is analytically investigated. The results show that the breather solutions can be converted into some types of nonlinear localized and periodic solutions on the plane-wave background. The exact relations for the conversions are presented, which depend on the higher-order effects, the background frequency and the eigenvalue. Via some...
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