Coupling constant behavior of eigenvalues of Zakharov-Shabat systems

dc.contributorVirginia Techen
dc.contributor.authorKlaus, Martinen
dc.contributor.authorMityagin, Borisen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-01-25en
dc.date.accessioned2014-01-23T13:49:08Zen
dc.date.available2014-01-23T13:49:08Zen
dc.date.issued2007-12en
dc.description.abstractWe consider the eigenvalues of the non-self-adjoint Zakharov-Shabat systems as the coupling constant of the potential is varied. In particular, we are interested in eigenvalue collisions and eigenvalue trajectories in the complex plane. We identify shape features in the potential that are responsible for the occurrence of collisions and we prove asymptotic formulas for large coupling constants that tell us where eigenvalues collide or where they emerge from the continuous spectrum. Some examples are provided which show that the asymptotic methods yield results that compare well with exact numerical computations. (c) 2007 American Institute of Physics.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKlaus, Martin; Mityagin, Boris, "Coupling constant behavior of eigenvalues of Zakharov-Shabat systems," J. Math. Phys. 48, 123502 (2007); http://dx.doi.org/10.1063/1.2815810en
dc.identifier.doihttps://doi.org/10.1063/1.2815810en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/25121en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/48/12/10.1063/1.2815810en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleCoupling constant behavior of eigenvalues of Zakharov-Shabat systemsen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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