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math.SP2012★ 1 cited
Graphical Krein Signature Theory and Evans-Krein Functions
Richard Kollár, Peter D. Miller
Two concepts, very different in nature, have proved to be useful in analytical and numerical studies of spectral stability: (i) the Krein signature of an eigenvalue, a quantity usu…
nlin.SI2012
The semiclassical modified nonlinear Schrödinger equation II: asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
Jeffery C. DiFranco, Peter D. Miller
We begin a study of a multi-parameter family of Cauchy initial-value problems for the modified nonlinear Schrödinger equation, analyzing the solution in the semiclassical limit. We…