Abstract
The perturbation theory for the inverse scattering transform applies to study a dissipative nonlinear transmission line, which is equivalent to the Toda lattice in the limit of vanishing dissipations. The time evolution of a one-soliton solution is calculated. It is found that the weak dissipations lead to change in the soliton parameters, the amplitude and the velocity, the creation of small solitons and the formation of a tail behind the initial soliton.
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