Dark solitons of the Gross-Neveu model

Abstract

We present N-soliton solutions for the classical (1+1)-dimensional Gross-Neveu model which satisfy non-zero boundary conditions. These solutions are obtained by direct method using some properties of the soliton matrices that appear in the framework of the Cauchy matrix approach.

13 pages, typos corrected, references added

References in corpus (4)

• Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems
• Fermionic solutions of chiral Gross-Neveu and Bogoliubov-de Gennes systems in nonlinear Schrödinger hierarchy
• Exact solution of N baryon problem in the Gross-Neveu model
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing