Dynamics of Solitons in the Disordered Anharmonic Chain
F. Kh. AbdullaevDepartment of Heat Physics, Academy of Sciences of the Uzbekian SSR, TashkentA. A. AbdumalikovDepartment of Physics, Tashkent State University
ABI
Abstract
Abstract The dynamic behaviour of solitons in the random anharmonic chain in the long‐wavelength approximation is investigated. Long‐time accumulative effects are described of weak stochastic perturbations on Korteweg‐de Vries solitons. A law is found of the stochastic acceleration of solitons and the amplitude of a soliton is calculated in the case of short‐range fluctuations of the spatial inhomogeneities of the chain.