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Title:Whitham Equations, Dispersionless KP Theory and Seiberg-Witten Variables
Author(s):Chang, Jen-Hsu
Doctoral Committee Chair(s):Carroll, Robert
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We discuss averaging methods to get Whitham equations for the KP hierarchy and use period integrals, which correspond to SW variables, in the Whitham equations. Then we study applications of the Whitham theory and formulas involving branch points of some Riemann Surfaces associated with the KdV equation. Briefly, a Riemann surface gives rise to integrable systems via the BA function. The averaging process gives modulation parameters Tn, ai and Whitham equations which describe the deformation of moduli such as branch points. We outline and give a detailed development of the theory with a number of illustrative examples.
Issue Date:1998
Type:Text
Language:English
Description:77 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.
URI:http://hdl.handle.net/2142/86967
Other Identifier(s):(MiAaPQ)AAI9912209
Date Available in IDEALS:2015-09-28
Date Deposited:1998


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