Optical solitons for Kudryashov's model: undetermined coefficients with Jacobi's elliptic functions

This paper recovers solitons solutions with Kudryashov's proposed law of refractive index having quadruple power-law of nonlinear refractive index. The method of undetermined coefficients is the integration algorithm where the starting hypotheses are Jacobi's elliptic functions. A full spectrum of soliton solutions are recovered when the modulus of ellipticity approaches unity.

Automated summary

This paper investigates solitons solutions by utilizing Kudryashov's law of refractive index with quadruple power-law, integrating using undetermined coefficients and Jacobi's elliptic functions. A wide range of soliton solutions are recovered as the ellipticity modulus approaches unity.