Ryogo Hirota,Atsushi Nagai,Jon Nimmo,Claire Gilson's The Direct Method in Soliton Theory (Cambridge Tracts in PDF

By Ryogo Hirota,Atsushi Nagai,Jon Nimmo,Claire Gilson

ISBN-10: 0521836603

ISBN-13: 9780521836609

The bilinear, or Hirota's direct, approach used to be invented within the early Seventies as an straight forward technique of developing soliton strategies that shunned using the heavy equipment of the inverse scattering remodel and used to be effectively used to build the multisoliton ideas of many new equations. within the Eighties the deeper value of the instruments utilized in this technique - Hirota derivatives and the bilinear shape - got here to be understood as a key element in Sato's idea and the connections with affine Lie algebras. the most a part of this ebook issues the extra smooth model of the strategy during which suggestions are expressed within the kind of determinants and pfaffians. whereas holding the unique philosophy of utilizing fairly basic arithmetic, it has, however, been inspired by way of the deeper realizing that got here out of the paintings of the Kyoto college. The booklet can be crucial for all these operating in soliton theory.

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The Direct Method in Soliton Theory (Cambridge Tracts in Mathematics) by Ryogo Hirota,Atsushi Nagai,Jon Nimmo,Claire Gilson


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