Solitons in the duality-based matrix model

Abstract

We analyze soliton solutions in the duality-based matrix model. There are two types of solution, a one soliton-antisoliton solution (with the constant boundary condition at infinity) and a periodic solution with an infinite number of solitons. It is shown that there is no finite number $(n>1)$ of solitons at finite distances in the limit when the length of the box tends to infinity. Particularly, there is no finite number of $\delta -$ function solitons in the singular limit.

8 pages, no figures, JHEP style

References in corpus (6)

• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• Density Correlation Functions in Calogero Sutherland Models
• Applications of the Collective Field Theory for the Calogero-Sutherland Model
• Solitons and giants in matrix models
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• Comment on "Solitons and excitations in the duality-based matrix model"