Bäcklund transformations for Darboux integrable differential systems (Q2346364)

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Bäcklund transformations for Darboux integrable differential systems
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    Bäcklund transformations for Darboux integrable differential systems (English)
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    1 June 2015
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    The authors give a systematic group-theoretic method for constructing Bäcklund transformations using the theory of symmetry reduction of exterior differential systems. For the case of Darboux integrable systems, a precise understanding of Bäcklund transformations is obtained. For certain cases, it can be shown that all Bäcklund transformations between Darboux integrable systems are obtained using the approach given here.
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    Bäcklund transformation
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    Darboux integrability
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    exterior differential systems
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    symmetry reduction
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