Collective variables approach to the vector-coupled system of Chen-Lee-Liu equation

The present manuscript employed a rare approach to tackle a vector-coupled system of Chen-Lee-Liu Equation (CLLE). This approach was based on the combination of the Collective Variable Method (CVM) and the higher-order Runge-Kutta Method (RKM) to examine the dynamics of pulse parameters and total energy on the evolution of a system of CLLE. Furthermore, to expatiate more on the pulse propagation associated with the system, the resulting dynamical equations of motions were graphically illustrated with the help of Maple and Matlab mathematical software. Lastly, the present approach was not only proved to be efficient in pulse characterization, but was also believed to effectively tackle high-order coupled systems of complex evolution equations with more wave functions (more dependent variables).