Optical solitons with complex Ginzburg–Landau equation

• DOI: 10.1007/s11071-016-2810-5
• Publication Date: 2016-05-09T05:30:33Z
• Authors: Mohammad Mirzazadeh; Mehmet Ekici; Abdullah Sonmezoglu; Mostafa Eslami; Qin Zhou; Abdul H. Kara; Daniela Milovic; Fayequa B. Majid; Anjan Biswas; Milivoj Belić
• Keywords: 0103 physical sciences; 01 natural sciences

The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.