Ba. Malomed et N. Flytzanis, FLUCTUATIONAL DISTRIBUTION FUNCTION OF SOLITONS IN THE NONLINEAR SCHRODINGER SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(1), 1993, pp. 180000005-180000008
We derive the Fokker-Planck equation for the soliton amplitude distrib
ution function in the damped nonlinear Schrodinger system under the in
fluence of thermal fluctuations. The regular solutions are obtained in
terms of the Kummer functions. Physical applications are discussed.