Front and pulse solutions for the complex Ginzburg-Landau equation with higher-order terms.
We investigate one-dimensional complex Ginzburg-Landau equation with higher-order terms and discuss their influences on the multiplicity of solutions. An exact analytic front solution is presented. By stability analysis for the original partial differential equation, we derive its necessary stability condition for amplitude perturbations. This condition together with the exact front solution determine the region of parameter space where the uniformly translating front solution can exist. In addition, stable pulses, chaotic pulses, and attenuation pulses appear generally if the parameters are out of the range. Finally, applying these analysis into the optical transmission system numerically we find that the stable transmission of optical pulses can be achieved if the parameters are appropriately chosen.
Tian
Huiping
H
Department of Electronics and Information Technology, Shanxi University, Taiyuan, People's Republic of China. tianhuip@mail.sxu.edu.cn
Li
Zhonghao
Z
Tian
Jinping
J
Zhou
Guosheng
G