Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
نویسندگان
چکیده
Recent work on purely transmitting ‘jump-defects’ in the sine-Gordon model and other relativistic field theories is extended to non-relativistic models. In all the cases investigated the defect conditions are provided by ‘frozen’ Bäcklund transformations and it is also shown via a Lax pair argument how integrability will be preserved in the presence of this type of defect. Explicit examples of the scattering of solitons by defects are given, and bound states associated with ‘jump-defects’ in the nonlinear Schrödinger model are described. Although the nonlinear Schrödinger model provides the principal example, some results are also presented for the Korteweg de Vries and modified Korteweg de Vries equations. PACS numbers: 02.30Ik, 05.45Yv, 11.10.Ef, 11.10.Kk, 11.10.Lm
منابع مشابه
Economic Growth as a Nonlinear and Discontinuous Process
Structural changes were the main focus of many studies in recent years. Changes which alter the socio-economic status of a nation from deprived and traditional nature to a developed and modern one. The main hypothesis of this study is that, the economic development does not occur through a regular flow of life (linear fashion), and without resilience, but it certainly needs to pass through a mo...
متن کاملA family of super Schrödinger invariant Chern-Simons matter systems
We investigate non-relativistic limits of the N=3 Chern-Simons matter system in 1+2 dimensions. The relativistic theory can generate several inequivalent super Schödinger invariant theories, depending on the degrees of freedom we choose to retain in the non-relativistic limit. The maximally supersymmetric Schrödinger invariant theory is obtained by keeping all particle degrees of freedom. The o...
متن کاملInvestigation of Vibrational Behavior of Perfect and Defective Carbon Nanotubes Using Non–Linear Mass–Spring Model
In the present study, the effects of arrangement and distribution of multifarious types of defects on fundamental frequency of carbon nanotubes are investigated with respect to different chirality and boundary conditions. Interatomic interactions between each pair of carbon atoms are modeled using two types of non–linear spring–like elements. To obtain more information about the influences of d...
متن کاملNon-Relativistic Limit of Neutron Beta-Decay Cross-Section in the Presence of Strong Magnetic Field
One of the most important reactions of the URCA that lead to the cooling of a neutron star, is neutron beta-decay ( ). In this research, the energy spectra and wave functions of massive fermions taking into account the Anomalous Magnetic Moment (AMM) in the presence of a strong changed magnetic field are calculated. For this purpose, the Dirac-Pauli equation for charged and neutral fermions is ...
متن کاملDeformation method for generalized Abelian Higgs-Chern-Simons models
We present an extension of the deformation method applied to self-dual solutions of generalized Abelian Higgs-Chern-Simons models. Starting from a model defined by a potential V (|φ|) and a non-canonical kinetic term ω(|φ|)|Dμφ| 2 whose analytical domain wall solutions are known, we show that this method allows to obtain an uncountable number of new analytical solutions of new models defined by...
متن کامل