Date: 01 Apr 2005

Dissipative Solitons in the Complex Ginzburg-Landau and Swift-Hohenberg Equations

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We explain the meaning of dissipative solitons and place them in a framework which shows their use in various scientific fields. Indeed, dissipative solitons form a new paradigm for the investigation of phenomena involving stable structures in nonlinear systems far from equilibrium. We consider those aspects of the problem that can be studied on the basis of a qualitative analysis of nonlinear systems.