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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 2, Pages 277–287
DOI: https://doi.org/10.4213/tmf6499 (Mi tmf6499) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A limit symmetry of the Korteweg–de Vries equation and its applications

Zhang Da-juna, Jian-bing Zhangba, Qing Shena

a Department of Mathematics, Shanghai University, Shanghai, China
b School of Mathematics Science, Xuzhou Normal University, Xuzhou, China
Full-text PDF (881 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6499
Abstract: We discuss a symmetry of the Korteweg–de Vries (KdV) equation. This symmetry can be related to the squared eigenfunction symmetry by a limit procedure. As applications, we consider the similarity reduction of the KdV equation and a KdV equation with new self-consistent sources. We derive some solutions via a bilinear approach.
Keywords: symmetry, KdV equation, symmetry constraint, self-consistent source, bilinear method.
Received: 29.09.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 2, Pages 634–643
DOI: https://doi.org/10.1007/s11232-010-0046-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Zhang Da-jun, Jian-bing Zhang, Qing Shen, “A limit symmetry of the Korteweg–de Vries equation and its applications”, TMF, 163:2 (2010), 277–287; Theoret. and Math. Phys., 163:2 (2010), 634–643
Citation in format AMSBIB
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    • This publication is cited in the following 7 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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