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- W3080105147 abstract "We construct rogue wave solutions on the double periodic background for the Hirota equation through one fold Darboux transformation formula. We consider two types of double periodic solutions as seed solutions. We identify the squared eigenfunctions and eigenvalues that appear in the one fold Darboux transformation formula through an algebraic method with two eigenvalues. We then construct the desired solution in two steps. In the first step, we create double periodic waves as the background. In the second step, we build rogue wave solution on the top of this double periodic solution. We present the localized structures for two different values of the arbitrary parameter each one with two different sets of eigenvalues." @default.
- W3080105147 created "2020-09-01" @default.
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- W3080105147 date "2020-08-27" @default.
- W3080105147 modified "2023-09-26" @default.
- W3080105147 title "Rogue waves on the double periodic background in Hirota equation" @default.
- W3080105147 doi "https://doi.org/10.48550/arxiv.2008.12116" @default.
- W3080105147 hasPublicationYear "2020" @default.
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