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

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. 
@article{ZVMMF_2011_51_7_a11,
     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},
     publisher = {mathdoc},
     volume = {51},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a11/}
}
TY  - JOUR
AU  - S. P. Popov
TI  - Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 1317
EP  - 1325
VL  - 51
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a11/
LA  - ru
ID  - ZVMMF_2011_51_7_a11
ER  - 
%0 Journal Article
%A S. P. Popov
%T Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 1317-1325
%V 51
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a11/
%G ru
%F ZVMMF_2011_51_7_a11
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/