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- W2892335492 abstract "In this paper, localized-wave interactions under the nonvanishing background are studied through the Darboux transformation (DT) for the discrete nonlinear Schrödinger equation. First of all, via the elementary DT, we obtain the first-order breather solution and give the parameter conditions for generating Kuznetsov–Ma breathers, Akhmediev breathers, breathers with a number of bunches and spatio-temporal breathers. Moreover, we analyze the effects of parameters on the velocity and period of the breathers. Secondly, we derive the second-order solution and discuss the dynamic behaviors of breather–breather and breather-rogue wave interactions on the nonvanishing background. Finally, via the generalized DT, we construct the equal-eigenvalue degenerate second-order breather solution, and analyze the characteristics of interactions between two breathers, which is found to be different from the ones given by the elementary DT." @default.
- W2892335492 created "2018-09-27" @default.
- W2892335492 creator A5006792394 @default.
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- W2892335492 date "2018-10-11" @default.
- W2892335492 modified "2023-09-25" @default.
- W2892335492 title "Localized-wave interactions for the discrete nonlinear Schrödinger equation under the nonvanishing background" @default.
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- W2892335492 doi "https://doi.org/10.1088/1402-4896/aae213" @default.
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