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Henry P. McKean Jr. and Integrable Systems

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Part of the Contemporary Mathematicians book series (CM)

Abstract

Henry McKean’s first contribution to integrable systems appeared in 1975 [15]. Over a period of more than 30 years since, in some 50 papers, he has explored integrable systems from uniquely original points of view. His selecta could have included the pioneering work, with Airault and Moser, on the time-dynamics of poles of meromorphic solutions of KdV [2]; or the series on invariant measures for wave equations, integrable or otherwise; or one of the seminal papers with Trubowitz [12, 13] that created a theory of infinite-genus hyperelliptic curves (= Riemann surfaces) and infinite-dimensionalJacobian varieties, which they applied to KdV under periodic boundary conditions, or subsequent extensions of that theory motivated by the desire to understand all the iconic integrable partial differential equation on the circle.

Keywords

Vector Field Riemann Surface Theta Function Inverse Scattering Darboux Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ArizonaTucsonUSA

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