Algebraic Aspects of the Dispersionless Limit of the Discrete Nonlinear Schrödinger Equation

Persistent Link:
http://hdl.handle.net/10150/297064
Title:
Algebraic Aspects of the Dispersionless Limit of the Discrete Nonlinear Schrödinger Equation
Author:
Yang, Bole
Issue Date:
2013
Publisher:
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:
text; Electronic Dissertation
Keywords:
Applied Mathematics
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Applied Mathematics
Degree Grantor:
University of Arizona
Advisor:
Flaschka, Hermann

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleAlgebraic Aspects of the Dispersionless Limit of the Discrete Nonlinear Schrödinger Equationen_US
dc.creatorYang, Boleen_US
dc.contributor.authorYang, Boleen_US
dc.date.issued2013-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © 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.en_US
dc.description.abstractWe 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.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectApplied Mathematicsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorFlaschka, Hermannen_US
dc.contributor.committeememberMcLaughlin, Kennethen_US
dc.contributor.committeememberPickrell, Douglasen_US
dc.contributor.committeememberRestrepo, Juanen_US
dc.contributor.committeememberFlaschka, Hermannen_US
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