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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 78, Number 3, Pages 345–356 (Mi tmf4790)  
This article is cited in 32 scientific papers (total in 33 papers)

Asymptotics at $t\to\infty$ of the solution to the Cauchy problem for the Korteweg–de Vries equation in the class of potentials with finite-gap behavior as $x\to\pm\infty$

R. F. Bikbaev, R. A. Sharipov
Full-text PDF (1123 kB) Citations (33)
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Abstract: The Cauchy problem for the KdV equation is considered in the class of functions approaching at $x\to\pm\infty$ two different finite-gap solutions of this equation which correspond to the same Riemann surface. With the help of the inverse scattering method the large time asymptotics of the Cauchy problem solution is considered.
Received: 29.08.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 78, Issue 3, Pages 244–252
DOI: https://doi.org/10.1007/BF01017661
Bibliographic databases:
Language: Russian
Citation: R. F. Bikbaev, R. A. Sharipov, “Asymptotics at $t\to\infty$ of the solution to the Cauchy problem for the Korteweg–de Vries equation in the class of potentials with finite-gap behavior as $x\to\pm\infty$”, TMF, 78:3 (1989), 345–356; Theoret. and Math. Phys., 78:3 (1989), 244–252
Citation in format AMSBIB
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\by R.~F.~Bikbaev, R.~A.~Sharipov
\paper Asymptotics at~$t\to\infty$ of~the solution to~the Cauchy problem for the Korteweg--de~Vries equation in~the class of~potentials with finite-gap behavior as~$x\to\pm\infty$
\jour TMF
\yr 1989
\vol 78
\issue 3
\pages 345--356
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\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 3
\pages 244--252
\crossref{https://doi.org/10.1007/BF01017661}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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