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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 3, Pages 397–404
DOI: https://doi.org/10.4213/tmf747 (Mi tmf747) 		 
This article is cited in 14 scientific papers (total in 14 papers)

KdV equation on a half-line with the zero boundary condition

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (189 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf747
Abstract: We solve the mixed problem for the KdV equation with the boundary condition $u|_{x=0}=0$, $u_{xx}|_{x=0}=0$ using the inverse scattering method. The time evolution of the scattering matrix is efficiently defined from the consistency condition for the spectra of two differential operators giving the $L$–$A$ pair.
Received: 29.10.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 3, Pages 712–718
DOI: https://doi.org/10.1007/BF02557381
Bibliographic databases:
Language: Russian
Citation: I. T. Habibullin, “KdV equation on a half-line with the zero boundary condition”, TMF, 119:3 (1999), 397–404; Theoret. and Math. Phys., 119:3 (1999), 712–718
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:78
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