ASYMPTOTIC-BEHAVIOR OF A SOLITARY WAVE ON A RANDOM ELECTRIC TRANSMISSION-LINE

Weak nonlinear waves on an LC ladder line with small random imhomogeneities are investigated. By means of a nonlinear perturbation method, a nonlinear integro-differential equation which describes asymptotic behaviour of weak nonlinear waves on the line is derived from the basic system of equations. It is shown from this equation that the amplitude of a solitary wave decays due to the presence of the random inhomogeneities. The possibility of shock wave propagation due to the presence of the random inhomogeneities is also shown.