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patt-sol1999
Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence
Dmitry V. Skryabin, William J. Firth
We investigate stability and dynamics of higher-order solitary waves in quadratic media, which have a central peak and one or more surrounding rings. We show existence of two quali…
patt-sol1999
Stability of multi-parameter solitons: Asymptotic approach
Dmitry V. Skryabin
General asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian systems has been developed. It has been shown t…