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Soliton Equations & Hamilt...(2ed) (V26)

by Dickey L a

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Soliton equations and integrable systems

$102.59 USD
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AlbakiReads Editorial

Soliton equations and integrable systems

This mathematical physics volume examines soliton equations and integrable systems, a field connected in the source description to mechanics and physics applications. It takes the Korteweg–de Vries equation as a historical point of departure, tracing the wider body of research that grew from its study. The second edition substantially revises the earlier book: five chapters are entirely new, while the remaining material has been refreshed and edited. The subject and format place it among specialist treatments of mathematical and computational physics rather than introductory popular science.

Good fit for readers who enjoy

  • Readers studying mathematical physics, soliton equations, or integrable systems.
  • Researchers or advanced students interested in the mathematical foundations and applications of these systems.
  • Readers seeking a revised, substantial reference on the subject. 

Themes

Soliton equationsIntegrable systemsMathematical physicsMechanics and physics applicationsHistory of research on the Korteweg–de Vries equation

Based on publisher information and book metadata.

Book overview

The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.

 

Besides its obvious practical use, this theory is attractive also because it satisfies the aesthetic need in a beautiful formula which is so inherent to mathematics.

 

The second edition is up-to-date and differs from the first one considerably. One third of the book (five chapters) is completely new and the rest is refreshed and edited.

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