• Corpus ID: 12610057

KP Solitons are Bispectral

  title={KP Solitons are Bispectral},
  author={Alex M Kasman},
  journal={arXiv: Mathematical Physics},
  • Alex M Kasman
  • Published 7 September 1998
  • Mathematics
  • arXiv: Mathematical Physics
It is by now well known that the wave functions of rational solutions to the KP hierarchy which can be achieved as limits of the pure $n$-soliton solutions satisfy an eigenvalue equation for ordinary differential operators in the spectral parameter. This property is known as ``bispectrality'' and has proved to be both interesting and useful. In a recent preprint (math-ph/9806001) evidence was presented to support the conjecture that all KP solitons (including their rational degenerations) are… 



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