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Read or Download The Direct Method in Soliton Theo

Read or Download The Direct Method in Soliton Theo

Read online or Download The Direct Method in Soliton Theory : Cambridge Tracts in Mathematics Series, Book 155 by Ryogo Hirota and Atsushi Nagai and Atsushi Nagai



Overview:

The bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions that avoided the use of the heavy machinery of the inverse scattering transform and was successfully used to construct the multisoliton solutions of many new equations. In the 1980s the deeper significance of the tools used in this method - Hirota derivatives and the bilinear form - came to be understood as a key ingredient in Sato's theory and the connections with affine Lie algebras. The main part of this book concerns the more modern version of the method in which solutions are expressed in the form of determinants and pfaffians. While maintaining the original philosophy of using relatively simple mathematics, it has, nevertheless, been influenced by the deeper understanding that came out of the work of the Kyoto school. The book will be essential for all those working in soliton theory.

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The Direct Method in Soliton Theory (Cambridge Tracts

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The Direct Method in Soliton Theory (Cambridge Tracts

The Direct Method in Soliton Theory (Cambridge Tracts in Mathematics) eBook: Ryogo Hirota, Atsushi Nagai, Jon Nimmo, Claire Gilson: Amazon.co.uk: Kindle Store