OPTICAL SOLITON PARAMETER DYNAMICS BY VARIATIONAL PRINCIPLE: PARABOLIC AND DUAL–POWER LAWS (SUPER–GAUSSIAN AND SUPER–SECH PULSES)

The current paper retrieves the optical soliton parameter dynamics that is considered with parabolic and dual—power laws of self—phase modulation structures. With linear chromatic dispersion and linear temporal evolution, the variational principle recovered the dynamical system of soliton parameters. Two specific forms of optical solitons are addressed in the paper which are super—Gaussian and super—sech pulses. These typically model RZ and NRZ types of pulses considered in telecommunications engineering. The special cases are naturally revealed when the parameter dictating the generalized nonlinearity is set to unity. The issue of soliton radiation has been tacitly disregarded to keep mathematics simple. The perturbation terms are also taken into account and the extended version of the Euler—Lagrange’s equation displays the extended dynamical system of these soliton parameters. The results naturally involved a range of special functions.