Soliton Propagation and Its Applications

A balance between non-linear and dispersive effects gives rise to localized solitary waves, an important characteristic for propagation. Solitons are waves that maintain constant shape whilst propagating through any media. Losses that occur whilst travelling are compensated by solitary motion. For a non-dissipative system, the amplitude, shape and velocity of solitary wave remains conserved after a collision with another soliton. This paper presents the mathematical derivation of the soliton wave. It discusses the particle like nature of the solitory waveform. Through MATLAB simulations, the evolution of soliton wave is presented. Ideal soliton distribution has been modified and the characteristic curves have been analysed in detail. The characteristic curves show the variation of power versus distance for a soliton wave, fundamental soliton for wavelength 1300 nm at a loss factor, α = 0.5 for wavelength division multiplexing (WDM), phase changes as soliton propagates, pulse broadening ratio as a factor of number of steps and the free entropy S(k) during propagation.