This article is cited in 12 papers

Application of the quasi-spectral fourier method to soliton equations

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia

Abstract: 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.

Key words: quasi-spectral Fourier method, Camassa–Holm equation, Holm-Hone equation, long wavelength regularized equation, soliton, peakon.

UDC: 519.634

Received: 16.09.2009
Revised: 26.04.2010

 English version: Computational Mathematics and Mathematical Physics, 2010, 50:12, 2064–2070

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