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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

Search results

Showing 1 to 3 of 3 (0.061 seconds)

Spelling suggestions: "subject:"recursion operator"" "subject:"ecursion operator""

1

A Class Of Super Integrable Korteweg-de Vries Systems

Dag, Huseyin 01 January 2003 (has links) (PDF)
In this thesis, we investigate the integrability of a class of multicomponent super integrable Korteweg-de Vries (KdV) systems in (1 + 1) dimensions in the context of recursion operator formalism. Integrability conditions are obtained for the system with arbitrary number of components. In particular, from these conditions we construct two new subclasses of multicomponent super integrable KdV systems.
2

Commutative And Non-commutative Integrable Equations: Lax Pairs, Recursion Operators

Unal, Gonul 01 July 2011 (has links) (PDF)
In this thesis, we investigate the integrability properties of some evolutionary type nonlinear equations in (1+1)-dimensions both with commutative and non-commutative variables. We construct the recursion operators, based on the Lax representation, for such equations. Finally, we question the notion of integrability for a certain one-component non-commutative equation. [We stress that calculations in this thesis are not original.]
QC Physics 1-999
3

Integrable Couplings of the Kaup-Newell Soliton Hierarchy

Zhang, Mengshu 01 January 2012 (has links)
By enlarging the spatial and temporal spectral problems within a certain Lie algebra, a hierarchy of integrable couplings of the Kaup-Newell soliton equations is constructed. The recursion operator of the resulting hierarchy of integrable couplings is explicitly computed. The integrability of the new coupling hierarchy is exhibited by showing the existence of infinitely many commuting symmetries.
Enlarged systems
Infinitely many symmetries
Lax pairs
Recursion operator
Zero curvature representation
American Studies
Arts and Humanities
Mathematics

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