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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 130, Number 1, Pages 31–53
DOI: https://doi.org/10.4213/tmf289 (Mi tmf289) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Initial Boundary Value Problem for the KdV Equation on a Semiaxis with Homogeneous Boundary Conditions

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (306 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf289
Abstract: We consider the Korteweg–de Vries equation on the semiaxis with zero boundary conditions at $x=0$ and arbitrary smooth decreasing initial data. We show that the problem can be effectively integrated by the inverse scattering transform method if the associated linear equation has no discrete spectrum. Under these assumptions, we prove the global solvability of the problem.
Received: 27.03.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 130, Issue 1, Pages 25–44
DOI: https://doi.org/10.1023/A:1013824330433
Bibliographic databases:
Language: Russian
Citation: I. T. Habibullin, “Initial Boundary Value Problem for the KdV Equation on a Semiaxis with Homogeneous Boundary Conditions”, TMF, 130:1 (2002), 31–53; Theoret. and Math. Phys., 130:1 (2002), 25–44
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v130/i1/p31
    • This publication is cited in the following 13 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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