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- W2015339900 abstract "We show that dissipative systems can have a multiplicity of stationary solutions in the form of both stable and unstable solitons. As a model equation, we use the complex cubic–quintic Ginzburg–Landau equation. For a given set of the equation parameters, this equation has many coexisting soliton solutions. Our stability results show that although most of them are unstable, they can have stable pieces. This partial stability leads to the phenomenon of soliton explosion." @default.
- W2015339900 created "2016-06-24" @default.
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- W2015339900 date "2001-12-01" @default.
- W2015339900 modified "2023-09-23" @default.
- W2015339900 title "Simultaneous existence of a multiplicity of stable and unstable solitons in dissipative systems" @default.
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- W2015339900 doi "https://doi.org/10.1016/s0375-9601(01)00634-x" @default.
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