Abstract
A viscous plasma is analyzed by reductive perturbation theory to model dissipative soliton formation. A nonlinear Schrodinger equation with complex coefficients is derived. Such an equation can be exactly solved by the technique due to Hirota. Three types of solution can be obtained under different physical conditions: solitary waves, ion-acoustic holes, and shocks. Even in the presence of a dissipative effect like viscosity, it is possible to obtain a solitary-wave-like excitation.
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