Complex solitary waves from one-soliton solution

Complex solitary wave solutions are obtained for higher-order nonlinear Schrödinger equation as a one-parameter, (C₁) family of solutions. These solutions are found to be stable in a certain range of the parameter. It is observed that for C₁<1, these stable waves propagate at faster bit rate than the solitons under the same input conditions. The complex solutions can also be obtained by the action of the nonlinear operator on the one-soliton solution.