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- W4293493513 abstract "Abstract In this paper, we investigate the smooth positon and breather-positon solutions of the a generalized integrable discrete nonlinear Schr¨ o dinger (NLS) equation by the generalized Darboux transformation (DT). Starting from the zero seed solution, the Nth-order smooth positon solutions are obtained by degenerate DT. The breather solutions including Akhmediev breather, Ma breather and space-time periodic breather are derived from the nonzero seed solution. Then the breather-positon solutions are constructed by gradual Taylor series expansion of the eigenfunctions in breather solutions. We study the effect of higher-order nonlinear terms on these discrete smooth positon solutions and breather-positon solutions, which demonstrates that the interacting region of soliton-positon and breather-positon are highly compressed by higher-order nonlinear effects, but the distance between the two positons have an opposite effect in two waveforms." @default.
- W4293493513 created "2022-08-29" @default.
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- W4293493513 date "2022-08-29" @default.
- W4293493513 modified "2023-09-27" @default.
- W4293493513 title "Nth-order smooth positon and breather-positon solutions for a generalized integrable discrete nonlinear Schr o¨dinger equation" @default.
- W4293493513 doi "https://doi.org/10.21203/rs.3.rs-1961271/v1" @default.
- W4293493513 hasPublicationYear "2022" @default.
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