Optical solitons with log-law nonlinearity

This paper obtains the 1-soliton solution of the nonlinear Schrödinger’s equation with log-law nonlinearity. The solitary wave ansatz method is used to carry out the integration of this equation. The three conserved quantities are derived for this equation. The adiabatic parameter dynamics is obtained in presence of perturbation terms. Finally, the study is extended to 1 + 2 dimensions where a closed form 1-soliton solution is also obtained.