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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 418–427
DOI: https://doi.org/10.4213/tmf6361 (Mi tmf6361) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Reciprocal Bäcklund transformations of autonomous evolution equations

M. Euler, N. Euler, S. Lundberg

Luleå University of Technology
Full-text PDF (381 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6361
Abstract: We discuss the construction of reciprocal Bäcklund transformations for evolution equations using integrating factors of zeroth and higher orders with their corresponding conservation laws. As an example, we consider the Harry Dym equation and the Schwarzian KdV equation.
Keywords: nonlinear evolution equation, Bäcklund transformation, conservation law, integrable evolution equation.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 770–778
DOI: https://doi.org/10.1007/s11232-009-0065-8
Bibliographic databases:
Language: Russian
Citation: M. Euler, N. Euler, S. Lundberg, “Reciprocal Bäcklund transformations of autonomous evolution equations”, TMF, 159:3 (2009), 418–427; Theoret. and Math. Phys., 159:3 (2009), 770–778
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6361
  • https://www.mathnet.ru/eng/tmf/v159/i3/p418
    • This publication is cited in the following 2 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:42
    First page:26
     
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