OPTICAL SOLITONS IN 1 + 2 DIMENSIONS WITH TIME-DEPENDENT DISPERSION, NONLINEARITY AND ATTENUATION IN A POWER LAW MEDIUM

This paper studies optical solitons in 1 + 2 dimensions with power law nonlinearity in the presence of time-dependent coefficients of dispersion, nonlinearity and attenuation. The one-soliton solution to the governing nonlinear Schrodinger equation is obtained and the constraint relation between these coefficients is consequently established. The velocity of the soliton is also obtained in terms of these coefficients. These time-dependent coefficients, which must be Riemann-integrable, are otherwise arbitrary.