Abstract

A characteristic feature of solitary waves in active media seems to be their asymmetry. Such waves may be classified as (i) perturbed and (ii) essentially asymmetric solitary waves. The main attention in this paper is given to the essentially asymmetric solitary waves which are formed in a nonlinear transmission line and governed by a second order evolution equation with a specific nonlinearity. As an example of perturbed asymmetric solitary waves the solutions to the KdV equations with a source term are briefly discussed.

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