2021/10/19 by Schuermann, H. W., Serov, V. S.
#FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2110.09969
A subset of traveling wave solutions of the quintic complex Ginzburg-Landau equation (QCGLE) is presented in compact form. The approach consists of the following parts. - Reduction of the QCGLE to a system of two ordinary differential equations (ODEs) by a traveling wave ansatz. - Solution of the system for two (ad hoc) cases relating phase and amplitude. - Presentation of the solution for both cases in compact form. - Presentation of constraints for bounded and for singular positive solutions by analyzing the analytical properties of the solution by means of a phase diagram approach. The results are exemplified numerically