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Description
Title: | On the Stability of Periodic Solutions of Nonlinear Dispersive Equations |
Author(s): | Johnson, Mathew A. |
Doctoral Committee Chair(s): | Bronski, Jared C. |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | Finally, we show how our results extend to other classes of dispersive equations. In particular, we derive modulational and finite-wavelength instability indices for the generalized Benjamin-Bona-Mahony (gBBM) equation, as well as the generalized Camassa-Holm equation. Moreover, we prove a transverse instability result for the gBBM equation analogous to that for the gKdV. |
Issue Date: | 2009 |
Type: | Text |
Language: | English |
Description: | 187 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009. |
URI: | http://hdl.handle.net/2142/86925 |
Other Identifier(s): | (MiAaPQ)AAI3363132 |
Date Available in IDEALS: | 2015-09-28 |
Date Deposited: | 2009 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois