Application of the quasi-spectral fourier method to soliton equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2176-2183

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A numerical approach combining the quasi-spectral Fourier method and the Runge–Kutta technique is proposed for the numerical study of the long wavelength regularized equation and the Camassa–Holm and Holm–Hone equations. Test results are presented for soliton and peakon solutions.
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     title = {Application of the quasi-spectral fourier method to soliton equations},
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S. P. Popov. Application of the quasi-spectral fourier method to soliton equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2176-2183. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a7/