Analytical traveling wave and soliton solutions of the generalized nonautonomous nonlinear Schrödinger equation with an external potential

A class of analytical traveling wave and soliton solutions to generalized nonautonomous nonlinear Schrödinger equation with an external potential are constructed by using homogeneous balance principle and F-expansion technique. Constraint conditions for analytical solutions are obtained at the same time which admit different types of external potentials. Various types of analytical traveling waves and soliton solutions are studied in detail. Stability analysis of the solutions is discussed numerically. Results show that stable propagation of solitons can be maintained in nonuniform distributed nonlinear media. (author)