On the Stability of Periodic Solutions of Nonlinear Dispersive Equations

Johnson, Mathew A.
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http://hdl.handle.net/2142/86925

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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


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