Geodesic
Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1317-1325 
S. P. Popov. Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1317-1325. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a11/
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     author = {S. P. Popov},
     title = {Numerical study of {Peakons} and $k${-Solitons} of the {Camassa{\textendash}Holm} and {Holm{\textendash}Hone} equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1317--1325},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The spectral Fourier and Runge–Kutta methods are used to study the Camassa–Holm and Holm–Hone equations numerically. Numerical results for problems with initial data leading to the generation and interaction of peakons and $k$-solitons are discussed.

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