Optical solitons for dispersive concatenation model with power-law of self-phase modulation: a sub-ODE approach

Abstract

This work retrieves a plethora of optical soliton solutions to the dispersive concatenation model with power-law of self-phase modulation. The implementation of the sub-ODE method and its variations and versions yielded such soliton solutions. The intermediary functions were Weierstrass’ elliptic functions as well as Jacobi’s elliptic functions. Their special cases gave way to soliton solutions. In particular, for Jacobi’s elliptic functions, when the modulus of ellipticity approached unity, the soliton solutions have naturally emerged.