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Phys. Rev. Lett. 75, 2320–2323 (1995)

Novel Arbitrary-Amplitude Soliton Solutions of the Cubic-Quintic Complex Ginzburg-Landau Equation

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N. Akhmediev and V. V. Afanasjev
Optical Sciences Centre, The Australian National University, Canberra, ACT 0200, Australia

Received 27 February 1995; published in the issue dated 18 September 1995

We propose a method for finding stationary pulse solutions of the complex Ginzburg-Landau equation, which can be applied to both cubic and quintic models. In particular, we discover previously unknown arbitrary-amplitude pulse solutions for both the cubic and quintic models. Numerical simulations show that these solutions are stable relative to small perturbations.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.2320
DOI:
10.1103/PhysRevLett.75.2320
PACS:
42.50.Rh, 42.65.-k, 47.20.Ky