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• W3174962317 abstract "Abstract Based on the Hirota's bilinear method, a more classic limit technique is perfected to obtain second-order smooth positons. Immediately afterwards, we propose an extremely ingenious limit approach in which higher-order smooth positons and breather positons can be quickly derived from N -soliton solution. Under this ingenious technique, the smooth positons and breather positons of the modified Korteweg-de Vries system are quickly and easily derived. Compared with the generalized Darboux transformation, the approach mentioned in this paper has the following advantages and disadvantages: the advantage is that it is simple and fast; the disadvantage is that this method cannot get a concise general mathematical expression of nth-order smooth positons." @default.
• W3174962317 created "2021-07-05" @default.
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• W3174962317 date "2021-06-18" @default.
• W3174962317 modified "2023-09-27" @default.
• W3174962317 title "Construction of Higher-Order Smooth Positons and Breather Positons via Hirota's Bilinear Method" @default.
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• W3174962317 doi "https://doi.org/10.21203/rs.3.rs-578849/v1" @default.
• W3174962317 hasPublicationYear "2021" @default.
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