Orbital Stability of Domain Walls in Coupled Gross--Pitaevskii Systems
نویسندگان
چکیده
منابع مشابه
Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation
In this paper, we prove the nonlinear orbital stability of the stationary traveling wave of the one-dimensional Gross-Pitaevskii equation by using Zakharov-Shabat’s inverse scattering method.
متن کاملStability of domain walls coupled to Abelian gauge fields
Rozowsky, Volkas and Wali [1] recently found interesting numerical solutions to the field equations for a gauged U(1)⊗U(1) scalar field model. Their solutions describe a reflection-symmetric domain wall with scalar fields and coupled gauge configurations that interpolate between constant magnetic fields on one side of the wall and exponentially decaying ones on the other side. This corresponds ...
متن کاملDomain walls and vortices in linearly coupled systems.
We investigate one- and two-dimensional radial domain-wall (DW) states in the system of two nonlinear-Schrödinger (NLS) or Gross-Pitaevskii (GP) equations, which are couple by linear mixing and by nonlinear XPM (cross-phase-modulation). The system has straightforward applications to two-component Bose-Einstein condensates, and to bimodal light propagation in nonlinear optics. In the former case...
متن کاملMadelung, Gross-Pitaevskii and Korteweg
This paper surveys various aspects of the hydrodynamic formulation of the nonlinear Schrödinger equation obtained via the Madelung transform in connexion to models of quantum hydrodynamics and to compressible fluids of the Korteweg type.
متن کاملDomain Walls in Strongly Coupled Theories
Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the nonAbelian confining phase, while inside the wall it is in the Abelian Coulomb phase. Confining property of the non-Abelian theories is a key ingredient of the ...
متن کاملذخیره 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: SIAM Journal on Mathematical Analysis
سال: 2018
ISSN: 0036-1410,1095-7154
DOI: 10.1137/17m1114892