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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 1, Pages 45–57
DOI: https://doi.org/10.4213/tmf6069 (Mi tmf6069) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy

Yu.-T. Chena, J.-H. Changb, M. H. Tuc

a Institute of Mathematics, Academia Sinica
b National Defense University, Department of Electrical Engineering
c National Chung Cheng University
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DOI: https://doi.org/10.4213/tmf6069
Abstract: We give a dispersionless Toda-like extension to the dispersionless Harry Dym (dDym) hierarchy. The extended dDym (EdDym) hierarchy has a dressing formulation, and its underlying solution structure can be investigated through the twistor construction. We show that additional symmetries of the solution space generate Bäcklund transformations of the EdDym hierarchy. We present some examples of constructing new solutions of the $(2+1)$-dimensional dDym and EdDym equations via Bäcklund transformations.
Keywords: dispersionless Dym hierarchy, dressing operator, twistor construction, additional symmetries, Bäcklund transformation.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 1, Pages 915–925
DOI: https://doi.org/10.1007/s11232-007-0077-1
Bibliographic databases:
Language: Russian
Citation: Yu.-T. Chen, J.-H. Chang, M. H. Tu, “Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy”, TMF, 152:1 (2007), 45–57; Theoret. and Math. Phys., 152:1 (2007), 915–925
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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