Перегляд за автором "Shemyakova, E."

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  • Classification of Multidimensional Darboux Transformations: First Order and Continued Type 
    Hobby, D.; Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type. We obtain a full ...
  • Invertible Darboux Transformations 
    Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae. Such Darboux transformations are not invertible in the sense that the ...