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Solitary waves in the complementary generalized ABS model
Avinash Khare, Fred Cooper, John F. Dawson, Avadh Saxena
https://arxiv.org/abs/2506.12631 https:/…

Solitary waves in the complementary generalized ABS model
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form $ Ψ(x,t) =Φ(x) \rme^{-\rmi ωt}$ where the nonlinear interactions are a combination of vector-vector and scalar-scalar interactions with the interaction Lagrangian given by $L_I = \frac{g^2}{(κ+1)}[\barψ γ_μψ\barψ γ^μ ψ]^{(κ+1)/2} - \frac{g^2}{q(κ+1)}(\barψ ψ)^{κ+1}$, where $κ>0$ and $q>1$. This is the complement of the generalization of the ABS model \cite{abs} that we recently studied \cite…