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- W4328142703 abstract "We study the solitary waves of fractional Korteweg-de Vries type equations, that are related to the 1-dimensional semi-linear fractional equations:|D|αu+u−f(u)=0, with α∈(0,2), a prescribed coefficient p⁎(α), and a non-linearity f(u)=|u|p−1u for p∈(1,p⁎(α)), or f(u)=up with an integer p∈[2;p⁎(α)). Asymptotic developments of order 1 at infinity of solutions are given, as well as second order developments for positive solutions, in terms of the coefficient of dispersion α and of the non-linearity p. The main tools are the kernel formulation introduced by Bona and Li, and an accurate description of the kernel by complex analysis theory." @default.
- W4328142703 created "2023-03-22" @default.
- W4328142703 creator A5041562225 @default.
- W4328142703 creator A5069545239 @default.
- W4328142703 date "2023-08-01" @default.
- W4328142703 modified "2023-09-24" @default.
- W4328142703 title "Decay of solitary waves of fractional Korteweg-de Vries type equations" @default.
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- W4328142703 doi "https://doi.org/10.1016/j.jde.2023.03.012" @default.
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