Two-Parameter Family of Nonlinear Dirac Equations With Scalar-Scalar plus Vector-Vector Interactions

Avinash Khare, Fred Cooper, John F. Dawson +1

We obtain exact solutions of the nonlinear Dirac equation in $1+1$ dimensions of the form $\psi (x,t)=e^{-i\omega t}\psi (x)$ for scalar-scalar (SS) plus vector-vector (VV) interaction with i…