Dark solitons of the Gross-Neveu model

DOI10.1093/PTEP/PTAB165arXiv2111.00836MaRDI QIDQ6381846

Publication date: 1 November 2021

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.

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Fermionic systems in quantum theory (81V74)

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