Harvey Segur

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Harvey Segur (* 1942 ) is an American applied mathematician , known for his contributions to the theory of solitons . He is a professor at the University of Colorado at Boulder .

Harvey Segur received his PhD in Aeronautical Science ( Stratified flow into a contraction ) from the University of California at Berkeley in 1969 . He was then a Research Fellow at Caltech , Associate Professor at Clarkson College of Technology in Potsdam (New York) and Professor at the State University of New York in Buffalo , before becoming Professor at the University of Colorado in Boulder in 1989.

He is known for making some significant contributions to Inverse Scattering Transformation (IST) in the early 1970s (with Mark J. Ablowitz , David J. Kaup, and Alan C. Newell ). With Ablowitz and A. Ramani, he assumed that all nonlinear partial differential equations (evolution equations) that can be solved by the IST have a reduction to ordinary differential equations with Painlevé property . The presumption is unproven, but is mainly assumed to be true due to multiple confirmations in individual cases and is even used as a test for the applicability of the IST.

In 2011 he received the Hazel Barnes Prize from the University of Colorado and received several other prizes from the university for his teaching and research, for example the Distinguished Research Lecture 2005.

Fonts

  • with Mark J. Ablowitz: Solitons and the Inverse Scattering Transform , SIAM Studies in Applied Mathematics, 1981
  • with M. Ablowitz, DJ Kaup, AC Newell: The inverse scattering transform-Fourier analysis for nonlinear problems , Stud. Appl. Math., Vol. 53, 1974, pp. 249-315
  • with M. Ablowitz, DJ Kaup, AC Newell: Method for Solving the Sine-Gordon Equation , Phys. Rev. Lett., Vol. 30, 1973, pp. 1262-1264

Web links

Individual evidence

  1. Harvey Segur in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. M. Ablowitz, A. Ramani, H. Segur, A connection between nonlinear evolution equations and ordinary differential equations of P-type, 2 parts, J. Math. Phys., Volume 21, 1980, pp. 715-721, 1006 -1015