Traveling kinks in dissipative nonlinear dynamics

Ginzburg-Landau free energy functionals frequently encountered in several fields of physics lead to nonlinear cubic Euler-Lagrange equation of motion of damped type in the traveling variable. By means of a factorization method, we provide analytic formulas for several possible kink solutions in the undriven and constant field driven cases including the recently introduced Riccati-parameter kinks which were not considered previously in such a context.