Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India
*Corresponding author (e-mail: supriyamandal81@gmail.com)
Online published on 16 February, 2018.
In this paper we consider the nonlinear Dirac equation in 1+1 space-time with pseudo-scalar coupling. The equations has cubic nonlinearity. We find exact solution of Dirac equation with pseudo-scalar coupling. We also derive the invariant of the system. Analytic form of interacting potential are also presented. Stability analysis of the system shows that the solution is stable with the variation of coupling parameter, mass and energy of the system.
Nonlinear Dirac Eq, pseudo-scalar interaction, exact solution, stability analysis
