Stationary scattering from a nonlinear network
نویسندگان
چکیده
Sven Gnutzmann,1 Uzy Smilansky,2,3 and Stanislav Derevyanko4 1School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom 2School of Mathematics, University of Cardiff, Cardiff CF24, United Kingdom 3Department Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel 4Nonlinearity and Complexity Research Group, Aston University, Birmingham, United Kingdom (Received 10 November 2010; revised manuscript received 4 January 2011; published 28 March 2011)
منابع مشابه
Trapped Bose-Einstein Condensates: Role of Dimensionality
We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1, 2, 3) on the structure and stability of the Bose-Einstein condensates (BECs) trapped in an external anisotropic parabolic potential. While for the positive scattering length the stationary ground-state solutions of the Gross-Pitaevskii equation are shown to be al...
متن کاملExact stationary wave patterns in three coupled nonlinear Schrödinger/Gross–Pitaevskii equations
The evolution of a Bose–Einstein condensate (BEC) with an internal degree of freedom, i.e., spinor BEC, is governed by a system of three coupled mean-field equations. The system admits the application of the inverse scattering transform and Hirota bilinear method under appropriate conditions, which makes it possible to generate exact analytical solutions relevant to physical applications. Here,...
متن کاملNonlinear Scattering of Bose-Einstein Condensates on a Finite Barrier
We seek stationary state solutions to the nonlinear Schrödinger equation (NLS) for piecewise-constant potentials V(x). In this case, we are able to find complete stationary solutions, i.e. exact solutions which are separable in time and space, in terms of Jacobi elliptic functions. These special functions can be defined as an inverse integral and are an interpolation between the circular and hy...
متن کاملDynamics and stability of Bose-Einstein condensates with attractive 1 Õr interaction
The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1 /r interaction is investigated with both a variational approach and numerically exact calculations. We show that these condensates exhibit signatures known from the nonlinear dynamics of autonomous Hamiltonian systems. The two stationary solutions created in a tangent bifurcation at a critical ...
متن کاملNonlinear Responses and Optical Limiting Behavior of Ag Nanoparticle Suspension
In this study, the nonlinear optical properties and optical limiting performance of the silver nanoparticles (AgNPs) in distilled water are investigated. The nonlinear absorption coefficient of the colloid is measured by the Z-scan technique. The optical limiting behavior of the AgNP suspension is investigated under exposure to nanosecond laser pulses at 532 nm. The results show that nonlinear ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011