Conservation laws for pure-cubic optical solitons with complex Ginzburg–Landau equation having several refractive index structures

Abstract

This paper derives the conserved densities for the perturbed complex Ginzburg–Landau model which is addressed with a range of nonlinear forms. The densities are derived with the implementation of Lie symmetry analysis while the conserved quantities are obtained from the soliton solutions to the model. For two such nonlinear forms the Hamiltonian cease to exist since the corresponding integrals are rendered divergent.

Keywords

• Solitons
• Conservation laws
• Ginzburg–Landau equation