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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 141, Number 2, Pages 192–207
DOI: https://doi.org/10.4213/tmf126 (Mi tmf126) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Integrable Boundary Value Problem for the Boussinesq Equation

A. N. Vil'danov

Bashkir State University, Neftekamsk Branch
Full-text PDF (255 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf126
Abstract: We discuss a method for seeking integrable boundary conditions for nonlinear equations. For the Boussinesq equation, we find a new boundary condition that is compatible with the Lax pair and has an infinite set of higher symmetries and a Bäcklund transformation. We construct a class of explicit partial solutions of an equation satisfying this boundary condition.
Keywords: integrability, boundary condition, Bäcklund transformation, higher symmetries, Boussinesq equation.
Received: 17.02.2004
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 2, Pages 1494–1508
DOI: https://doi.org/10.1023/B:TAMP.0000046559.46997.5c
Bibliographic databases:
Language: Russian
Citation: A. N. Vil'danov, “Integrable Boundary Value Problem for the Boussinesq Equation”, TMF, 141:2 (2004), 192–207; Theoret. and Math. Phys., 141:2 (2004), 1494–1508
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf126
  • https://doi.org/10.4213/tmf126
  • https://www.mathnet.ru/eng/tmf/v141/i2/p192
    • This publication is cited in the following 1 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:96
    First page:1
     
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