Eigenvalues, and Instabilities of Solitary Waves

We study a type of ‘eigenvalue’ problem for systems of linear ordinary differential equations with asymptotically constant coefficients by using the analytic function D(λ) introduced by J. W. Evans (1975) in his study of the stability of nerve impulses. We develop a general theory of D(λ) that clari...

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Veröffentlicht in:	Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 1992-07, Vol.340 (1656), p.47-94
Hauptverfasser:	Pego, Robert L., Weinstein, Michael I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Constant coefficients Eigenfunctions Eigenvalues Exact sciences and technology Function theory, analysis Mathematical methods in physics Ordinary differential equations Physics Plasma stability Solitons Spectral theory Trajectories Transition curves
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