Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type.
| dc.contributor.advisor | Albert, John P., | en_US |
| dc.contributor.author | Zeng, Lei. | en_US |
| dc.date.accessioned | 2013-08-16T12:30:56Z | |
| dc.date.available | 2013-08-16T12:30:56Z | |
| dc.date.issued | 2000 | en_US |
| dc.description.abstract | This thesis studies the existence and stability of solitary-wave solutions fx-ct of equations of the form ut+fux +Mut=0 . It is proved that there exist stable sets of solitary wave profile functions for a general class of equations of the above form. It is also found that, for the generalized Benjamin-Bona-Mahony equation, there are solitary wave profile functions that are not the minimizers of the associated variational problem. | en_US |
| dc.format.extent | v, 51 leaves ; | en_US |
| dc.identifier.uri | http://hdl.handle.net/11244/5980 | |
| dc.note | Major Professor: John P. Albert. | en_US |
| dc.note | Source: Dissertation Abstracts International, Volume: 61-05, Section: B, page: 2572. | en_US |
| dc.subject | Solitons. | en_US |
| dc.subject | Nonlinear functional analysis. | en_US |
| dc.subject | Mathematics. | en_US |
| dc.subject | Evolution equations, Nonlinear. | en_US |
| dc.thesis.degree | Ph.D. | en_US |
| dc.thesis.degreeDiscipline | Department of Mathematics | en_US |
| dc.title | Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type. | en_US |
| dc.type | Thesis | en_US |
| ou.group | College of Arts and Sciences::Department of Mathematics | |
| ou.identifier | (UMI)AAI9972518 | en_US |
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