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Group varieties related to the KP hierarchy

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Abstract

Some remarkable relations between group varieties and the solutions of a physically important class of differential equations, called KP hierarchy, are found. In particular, it is proved that to each solution in a certain class, including a lot of physically important solutions such as the famous n-solitons, there is associated in a natural way a group variety.

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Bottacin, F. Group varieties related to the KP hierarchy. Annali di Matematica pura ed applicata 162, 215–226 (1992). https://doi.org/10.1007/BF01760006

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Keywords

  • Differential Equation
  • Important Class
  • Group Variety
  • Important Solution
  • Remarkable Relation