Algebraic Aspects of the Dispersionless Limit of the Discrete Nonlinear Schrödinger Equation
Issue Date
2013Keywords
Applied MathematicsAdvisor
Flaschka, HermannMetadata
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The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
We study the DNLS and its dispersionless limit based on a family of matrices, named after Cantero, Moral, and Velazquez (CMV). The work is an analog to that of the Toda lattice and dispersionless Toda. We rigorously introduce the constants of motion and matrix symbols of the dispersionless limit of the DNLS. The thesis is an algebraic preparation for some potential geometry setup in the continuum sense as the next step.Type
textElectronic Dissertation
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeApplied Mathematics