Ginzburg-Landau equation for dynamical four-wave mixing in gain nonlinear media with relaxation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fractional Ginzburg–Landau equation for fractal media

We derive the fractional generalization of the Ginzburg–Landau equation from the variational Euler–Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg–Landau equation for fractal media are considered and different forms of the fractional Ginzburg–Landau equatio...

متن کامل

Diffusive Mixing of Stable States in the Ginzburg–Landau Equation

The Ginzburg-Landau equation ∂tu = ∂ 2 xu+u−|u|u on the real line has spatially periodic steady states of the the form Uη,β(x) = √ 1−η2 ei(ηx+β), with |η| ≤ 1 and β ∈ R. For η+, η−∈(− 1 3 , 1 √ 3 ), β+, β−∈R, we construct solutions which converge for all t > 0 to the limiting pattern Uη±,β± as x → ±∞. These solutions are stable with respect to sufficiently small H2 perturbations, and behave asy...

متن کامل

Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation

‎In this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear PDEs in mathmatical physics; namely the one-‎dimensional modified complex Ginzburg-Landau equation by using the $ (G'/G) $ expansion method‎, homogeneous balance method, extended F-expansion method‎. ‎By ‎using homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by j...

متن کامل

Diiusive Mixing of Stable States in the Ginzburg{landau Equation

The Ginzburg-Landau equation @ t u = @ 2 x u+u?juj 2 u on the real line has spatially periodic steady states of the the form U ;; (x) = p 1? 2 e i(x+) , with jj 1 and p 3), + ; ? 2R, we construct solutions which converge for all t > 0 to the limiting pattern U ;; as x ! 1. These solutions are stable with respect to suuciently small H 2 perturbations, and behave asymptotically in time like (1 ? ...

متن کامل

Model Reduction of the Nonlinear Complex Ginzburg-Landau Equation

Reduced-order models of the nonlinear Complex Ginzburg-Landau (CGL) equation are computed using a nonlinear generalization of balanced truncation. The method involves Galerkin projection of the nonlinear dynamics onto modes determined by balanced truncation of a linearized system, and is compared to a standard method using projection onto Proper Orthogonal Decomposition (POD) modes computed fro...

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

ژورنال

عنوان ژورنال: Physical Review E

سال: 2009

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.80.066603