We apply an approach based on the Fokker–Planck equation to study the statistics of optical soliton parameters in the presence of additive noise. This rigorous method not only allows us to reproduce and justify the classical Gordon–Haus formula but also leads to new exact results.
© 2003 Optical Society of America
S. A. Derevyanko, S. K. Turitsyn, and D. A. Yakushev, "Non-Gaussian statistics of an optical soliton in the presence of amplified spontaneous emission," Opt. Lett. 28, 2097-2099 (2003)