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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 5, Pages 808–812 (Mi zvmmf138)  
This article is cited in 11 scientific papers (total in 11 papers)

Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion

A. B. Alshin, M. O. Korpusov, E. V. Yushkov

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (479 kB) Citations (11)
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Abstract: 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.
Key words: nonlinear Korteweg–de Vries equation, traveling-wave solutions, semiconductors with strong spatial dispersion.
Received: 29.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 5, Pages 764–768
DOI: https://doi.org/10.1134/S0965542508050060
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. B. Alshin, M. O. Korpusov, E. V. Yushkov, “Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 808–812; Comput. Math. Math. Phys., 48:5 (2008), 764–768
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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