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• W3136242832 abstract "It is well-known that the boundary conditions will greatly affect the wave shape of a nonlinear wave equation. This paper reveals that the peak of a solitary wave is weakly affected by the unsmooth boundary. A fractal Korteweg-de Vries (KdV) equation is used as an example to show the solution properties of a solitary wave travelling along an unsmooth boundary. A fractal variational principle is established in a fractal space and its solitary wave solution is obtained, and its wave shape is discussed for different fractal dimensions of the boundary." @default.
• W3136242832 created "2021-03-29" @default.
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• W3136242832 date "2021-05-01" @default.
• W3136242832 modified "2023-10-16" @default.
• W3136242832 title "Solitary waves travelling along an unsmooth boundary" @default.
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• W3136242832 doi "https://doi.org/10.1016/j.rinp.2021.104104" @default.
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