Memories of Hirota's method: application to the reduced Maxwell-Bloch system in the early 1970s.

نویسنده

  • P J Caudrey
چکیده

Who remembers 'Hirota's method'? In the early days of solitons, although the Korteweg-de Vries equation had been solved by the 'inverse scattering method' most solutions to integrable non-linear equations were found by simpler more direct methods. Outstanding among these was a method due mainly to Hirota, which involved casting the equation into a 'bilinear form' and then applying intelligent guesswork. In this paper, I shall take a journey down memory lane, looking again at this method.

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عنوان ژورنال:
  • Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

دوره 369 1939  شماره 

صفحات  -

تاریخ انتشار 2011