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

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

The bilinear, or Hirota's direct, strategy was once invented within the early Seventies as an trouble-free technique of developing soliton options that kept away from using the heavy equipment of the inverse scattering rework and was once effectively used to build the multisoliton recommendations of many new equations. within the Eighties the deeper importance of the instruments utilized in this system - Hirota derivatives and the bilinear shape - got here to be understood as a key component in Sato's thought and the connections with affine Lie algebras. the most a part of this booklet issues the extra glossy model of the tactic within which recommendations are expressed within the kind of determinants and pfaffians. whereas keeping the unique philosophy of utilizing fairly basic arithmetic, it has, however, been motivated by way of the deeper realizing that got here out of the paintings of the Kyoto institution. The publication should be crucial for all these operating in soliton theory.

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