Soliton solutions to generalized discrete Korteweg–de Vries equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 9, pp. 1698-1709
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New discrete equations of the simplest three-point form are considered that generalize the discrete Korteweg–de Vries equation. The properties of solitons, kinks, and oscillatory waves are numerically examined for three types of interactions between neighboring chain elements. An analogy with solutions to limiting continual equations is drawn.
@article{ZVMMF_2008_48_9_a13,
author = {S. P. Popov},
title = {Soliton solutions to generalized discrete {Korteweg{\textendash}de} {Vries} equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1698--1709},
year = {2008},
volume = {48},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a13/}
}
TY - JOUR AU - S. P. Popov TI - Soliton solutions to generalized discrete Korteweg–de Vries equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 1698 EP - 1709 VL - 48 IS - 9 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a13/ LA - ru ID - ZVMMF_2008_48_9_a13 ER -
S. P. Popov. Soliton solutions to generalized discrete Korteweg–de Vries equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 9, pp. 1698-1709. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a13/
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