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- W2023006392 abstract "An exact method for constructing exact solutions of the sine-Hilbert equation is developed. It is shown that the SH equation can be transformed into a system of non-linear ordinary differential equations through a dependent variable transformation. Furthermore, this system of equations is transformed into a system of decoupled linear ordinary differential equations. Exact solutions of the SH equation are then constructed by means of a simple integration. The dynamical properties of the solutions are also studied in detail. The solution is interpreted as a superposition of N pulses which may be termed kinks, where N is a positive integer. Asymptotically for large time, it is composed of a pulse with a constant velocity and N-1 'static pulses'. This is a novel characteristic of the solution, unlike the well known N-soliton solution which behaves like N moving pulses for large time." @default.
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- W2023006392 date "1987-08-21" @default.
- W2023006392 modified "2023-10-18" @default.
- W2023006392 title "Kinks of the sine-Hilbert equation and their dynamical motions" @default.
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- W2023006392 doi "https://doi.org/10.1088/0305-4470/20/12/014" @default.
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