Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 5, pp. 808-812
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The third-order nonlinear differential equation $(u_{xx}-u)_t+u_{xxx}+uu_x=0$ is analyzed and compared with the Korteweg–de Vries equation $u_t+u_{xxx}-6uu_x=0$. Some integrals of motion for this equation are presented. The conditions are established under which a traveling wave is a solution to this equation.
@article{ZVMMF_2008_48_5_a5,
author = {A. B. Alshin and M. O. Korpusov and E. V. Yushkov},
title = {Traveling-wave solution to a~nonlinear equation in semiconductors with strong spatial dispersion},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {808--812},
publisher = {mathdoc},
volume = {48},
number = {5},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_5_a5/}
}
TY - JOUR AU - A. B. Alshin AU - M. O. Korpusov AU - E. V. Yushkov TI - Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 808 EP - 812 VL - 48 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_5_a5/ LA - ru ID - ZVMMF_2008_48_5_a5 ER -
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A. B. Alshin; M. O. Korpusov; E. V. Yushkov. Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 5, pp. 808-812. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_5_a5/