Comprehensive numerical simulations of pulse solutions of the cubic–quintic Ginzburg–Landau equation (CGLE), a canonical equation governing the weakly nonlinear behavior of dissipative systems in a wide variety of disciplines, reveal various intriguing and entirely novel classes of...

The solution for the generalized regularized long wave (for short, GRLW) equation based on variational iteratiom method, is exactly obtained. In this method, the solution is calculated in the form of convergent power series with easily computable componentes. This approach does need...