Semilocal Self-Dual Chern-Simons Solitons and Toda-type Eqations

Abstract

We consider a nonrelativistic Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a $SU(N{)}_{global}\times U(1{)}_{local}$ invariant fashion. We find that this model admits static zero-energy self-dual soliton solutions. We also present a set of exact soliton solutions. The exact time-dependent solutions are also obtained, when this model is considered in the background of an external uniform magnetic field.

Presentation of the equations are changed; to appear in Phys. Rev. D

References in corpus (7)

• Semilocal strings and monopoles
• Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas
• Schrödinger Fields on the Plane with $[U(1){]}^N$ Chern-Simons Interactions and Generalized Self-dual Solitons
• Conformal Properties of Chern-Simons Vortices in External Fields
• Conformal Properties of Chern-Simons Vortices in External Fields
• Self-dual Vortices in the Generalized Abelian Higgs Model with Independent Chern-Simons Interaction
• Painlevé analysis and integrability properties of a $2+1$ nonrelativistic field theory.

Cited by in corpus (5)

• Conformal symmetry and the nonlinear Schrodinger equation
• Exact results on the dynamics of multi-component Bose-Einstein condensate
• Explosion-implosion duality in the Bose-Einstein condensation
• Electron-nucleus cross sections from transfer learning
• Some Exact Solutions of the Semilocal Popov Equations with Many Flavors