Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrodinger Equation

نویسندگان
چکیده

برای دانلود رایگان 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

Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrödinger Equation

Solitons of the parametrically driven, damped nonlinear Schrödinger equation become unstable and seed spatiotemporal chaos for sufficiently large driving amplitudes. We show that the chaos can be suppressed by introducing localized inhomogeneities in the parameters of the equation. The pinning of the soliton on an “attractive” inhomogeneity expands its stability region whereas “repulsive” impur...

متن کامل

Solitons in a Parametrically Driven Damped Discrete Nonlinear Schrödinger Equation

We consider a parametrically driven damped discrete nonlinear Schrödinger (PDDNLS) equation. Analytical and numerical calculations are performed to determine the existence and stability of fundamental discrete bright solitons. We show that there are two types of onsite discrete soliton, namely onsite type I and II. We also show that there are four types of intersite discrete soliton, called int...

متن کامل

Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation

We use the Riemann-Hilbert problem to study the interaction of the soliton with radiation in the parametrically driven, damped nonlinear Schrödinger equation. The analysis is reduced to the study of a finite-dimensional dynamical system for the amplitude and phase of the soliton and the complex amplitude of the long-wavelength radiation. In contrast to previously utilised Inverse Scattering-bas...

متن کامل

Transition to spatiotemporal chaos in the damped Kuramoto-Sivashinsky equation

K. R. Elder, J. D. Gunton, and Nigel Goldenfeld Department of Physics, Oakland University, Rochester, Michigan 48309-4401 Department of Physics and Materials Research Laboratory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015-3182 ~Received 23 May 1996...

متن کامل

Melnikov Chaos in a Periodically Driven the Nonlinar Schrodinger Equation

A numerical behavior of a KdV combined mKdV equation is obtained using the Melnikov method. Melnikov method is proved to be elegant, and successful alternative to characterizing the complex dynamics of multi-stable oscillators. Based on the Melnikov theory we present the homoclinic and heteroclinic orbits in the unperturbed system. It is show us whether the system is chaotic or not. In this wor...

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: Journal of Non-linear Mathematical Physics

سال: 2001

ISSN: 1402-9251

DOI: 10.2991/jnmp.2001.8.supplement.2