A simple construction of recursion operators for multidimensional dispersionless integrable systems

@article{Sergyeyev2017ASC,
  title={A simple construction of recursion operators for multidimensional dispersionless integrable systems},
  author={Artur Sergyeyev},
  journal={Journal of Mathematical Analysis and Applications},
  year={2017},
  volume={454},
  pages={468-480}
}
  • Artur Sergyeyev
  • Published 8 January 2015
  • Mathematics, Physics
  • Journal of Mathematical Analysis and Applications
View PDF on arXiv
45 Citations
Highly Influential Citations
4
Background Citations
13
Methods Citations
14
Results Citations
1

45 Citations

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Citation Type

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A multi-dimensional version of the R-matrix approach to the construction of integrable hierarchies of (3+1)-dimensional dispersionless systems of the type recently introduced in Sergyeyev.
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We present a new approach to construction of recursion operators for multidimensional integrable systems which have a Lax-type representation in terms of a pair of commuting vector fields. It is…
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