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- W2018067231 abstract "Sliding-frequency filter systems are known to admit two families of accelerating solitons: high-amplitude and low-amplitude families. Such equilibrium solutions are computed here, for a wide range of filter strengths, as self-similar solutions having Airy function asymptotics. In a limited parameter region, the profile possesses a secondary small hump. The high-amplitude solitons are found to be stable over a region of parameter space which is here determined by the Evans function method, adjusted to Airy function asymptotics. The loss of stability is due to a Hopf bifurcation." @default.
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- W2018067231 date "2005-06-28" @default.
- W2018067231 modified "2023-09-23" @default.
- W2018067231 title "Existence and stability of accelerating solitons in sliding-frequency filter systems" @default.
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- W2018067231 doi "https://doi.org/10.1103/physreve.71.066611" @default.
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