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Yomba, Emmanuel; Zakeri, Gholam-Ali

Exact solutions in nonlinearly coupled cubic-quintic complex Ginzburg-Landau equations. (English) Zbl 1298.35212

Phys. Lett., A 377, No. 3-4, 148-157 (2013).
Summary: Exact analytical solutions for pulse propagation in a nonlinear coupled cubic-quintic complex Ginzburg-Landau equations are obtained. Three families of solitary waves which describe the evolutions of progressive bright-bright, front-front, dark-dark and other families of solitary waves are investigated. These exact solutions are analyzed both for competition of loss or gain due to nonlinearity and linearity of the system. The stability of the solitary waves is examined using analytical and numerical methods. The results reveal that the solitary waves obtained here can propagate in a stable way under slight perturbation of white noise and the disturbance of parameters of the system.

Cited in 5 Documents

MSC:

35Q56 Ginzburg-Landau equations
35C08 Soliton solutions
35B35 Stability in context of PDEs

Keywords:

nonlinear coupled cubic-quintic complex Ginzburg-Landau equations; bright-bright; dark-dark; front-front waves; dissipative solitons; stability

Software:

Gross-Pitaevskii
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Full Text: DOI

References:

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