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(a) Drazin, P.G. and Johnson, R.S. (1989) Solitons: An Introduction. Cambridge University Press, Cambridge, 22.
https://doi.org/10.1017/CBO9781139172059(b) Schürmann, H.W. (1996) Traveling Wave Solutions of the Cubic-Quintic Nonlinear Schrödinger Equation. Physical Review E, 54, 4312-4320.
https://doi.org/10.1103/PhysRevE.54.4312

has been cited by the following article:

• TITLE: Traveling Wave Solutions of the Quintic Complex One-Dimensional Ginzburg-Landau Equation

  AUTHORS: Hans Werner Schürmann, Valery Serov

  KEYWORDS: Ginzburg-Landau Equation, Weierstrass’ Elliptic Function, Phase Diagram

  JOURNAL NAME: Applied Mathematics, Vol.12 No.7, July 16, 2021

  ABSTRACT: 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: 1) Reduction of the QCGLE to a system of two ordinary differential equations (ODEs) by a traveling wave ansatz; 2) Solution of the system for two (ad hoc) cases relating phase and amplitude; 3) Presentation of the solution for both cases in compact form; 4) Presentation of constraints for bounded and for singular positive solutions by analysing the analytical properties of the solution by means of a phase diagram approach. The results are exemplified numerically.