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nlin.PS2025
Solitary waves in the complementary generalized ABS model
Avinash Khare, Fred Cooper, John F. Dawson +1
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form $ Ψ(x,t) =Φ(x) \rme^{-\rmi Ït}$ where the nonlinear interactions are a combination of vect…
nlin.PS2025
Solitary waves in a Two Parameter Family of Generalized Nonlinear Dirac Equations in Dimensions
Avinash Khare, Fred Cooper, John F. Dawson +1
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form where the nonlinear interactions are a combination of vector-vec…
nlin.PS2024
Solitary waves in the coupled nonlinear massive Thirring as well as coupled Soler models with arbitrary nonlinearity
Avinash Khare, Fred Cooper, John F. Dawson +2
Motivated by the recent introduction of an integrable coupled massive Thirring model by Basu-Mallick et al, we introduce a new coupled Soler model. Further we generalize both the c…