EVOLUTION OF RANDOMLY PERTURBED SINE-GORDON KINK

The evolution of a randomly modulated kink in the sine Gordon equation is investigated. The distribution function for the kink velocity is f ound using the inverse scattering transform. It is shown that the dist ribution function has a non-Gaussian form. The most probable and the m ean value of the kink velocity are calculated. It is shown that the as ymmetry of distribution function grows when velocity increases. The me an energy of emission random waves is found. The waves with wavelength of the same order with the correlation length are shown to be excited more effectively in the system. Copyright (C) 1998 Elsevier Science B .V.