Modulation Instability of Optical Waves in the Cubic-Quintic Complex Ginzburg-Landau Equation with Fourth-Order Dispersion and Gain Terms

نویسندگان

  • Woo-Pyo Hong
  • Seoung-Hwan Park
چکیده

The modulation instability of the one-dimensional cubic-quintic complex Ginzburg-Landau equation with fouth-order dispersion and gain terms, a. k. a., the quintic complex Swift-Hohenberg equation, is investgated. The effects of the fourth-order terms to the modulational instability is studied. We numerically investigate the dynamics of the modulational instability in the presence of the fourthorder dispersion and gain terms. – PACS numbers: 42.65.Tg, 42.81DP, 42.65Sf

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Effect of Nonlinear Gradient Terms on the Dynamics of Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation

The modulational instability of the one-dimensional cubic-quintic complex Ginzburg-Landau equation with the nonlinear gradient terms is investigated. The presence of the nonlinear gradient terms modifies the modulational instability gain spectrum. We numerically investigate the dynamics of modulational instability in the presence of the nonlinear gradient terms. It is found that they introduce ...

متن کامل

Stable localized pulses and zigzag stripes in a two-dimensional diffractive-diffusive Ginzburg-Landau equation

We introduce a model of a two-dimensional (2D) optical waveguide with Kerr nonlinearity, linear and quintic losses, cubic gain, and temporal-domain filtering. In the general case, temporal dispersion is also included, although it is not necessary. The model provides for description of a nonlinear planar waveguide incorporated into a closed optical cavity. It takes the form of a 2D cubic-quintic...

متن کامل

Chaotic Mode-locking of Chirped-pulse Oscillators

Chaotic mode-locking of chirped-pulse oscillator has been analyzed on the basis of generalized nonlinear cubic-quintic complex Ginzburg-Landau equation. It has been shown, that the chirped solitary pulse can be stabilized against the vacuum excitation, if the fourth-order dispersion is nonzero and positive. However, the pulse evolves chaotically, if the dispersion reaches some threshold value.

متن کامل

Extreme amplitude pulse pairs in a laser model described by the Ginzburg-Landau equation

We have found new dissipative solitons of the complex cubic-quintic Ginzburg-Landau equation with extreme amplitudes and short duration. At certain range of the equation parameters, these extreme spikes appear in pairs of slightly unequal amplitude. The bifurcation diagram of pulse amplitude versus dispersion parameter is constructed. c © 2015 Optical Society of America OCIS codes: 060.5530, 14...

متن کامل

Bifurcation and of the Generalized Complex Ginzburg–landau Equation

We study in this paper the bifurcation and stability of the solutions of the complex Ginzburg–Landau equation(CGLE). We investigate two different modes of CGLE. We study the first mode of CGLE which has only cubic unstable nonlinear term and later we also study the second mode of CGLE which has both cubic and quintic nonlinear terms. The solutions considered in cubic CGLE bifurcate from the tri...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004