Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework

The spectral problem associated with the linearization about solitary waves of the generalized fifth-order KdV equation is formulated in terms of the Evans function, a complex analytic function whose zeros correspond to eigenvalues. A numerical framework, based on a fast robust shooting algorithm on...

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Bibliographic Details
Published in:	Physica. D Vol. 172; no. 1; pp. 190 - 216
Main Authors:	Bridges, Thomas J., Derks, Gianne, Gottwald, Georg
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 15.11.2002
Subjects:	Evans function Fifth-order KdV Linear stability Numerical exterior algebra Evans function Fifth-order KdV Linear stability Numerical exterior algebra
ISSN:	0167-2789, 1872-8022
Online Access:	Get full text
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