# Approximate analytic solutions to coupled nonlinear Dirac equations

@article{Khare2017ApproximateAS, title={Approximate analytic solutions to coupled nonlinear Dirac equations}, author={Avinash Khare and Fred Cooper and Avadh B Saxena}, journal={Physics Letters A}, year={2017}, volume={381}, pages={1081-1086} }

## 3 Citations

### Solitary wave solutions of the 2+1 and 3+1 dimensional nonlinear Dirac equation constrained to planar and space curves

- PhysicsPhysica Scripta
- 2020

We study the effect of curvature and torsion on the solitons of the nonlinear Dirac equation considered on planar and space curves. Since the spin connection is zero for the curves considered here,…

### Study of instability of the Fourier split-step method for the massive Gross-Neveu model

- PhysicsJ. Comput. Phys.
- 2020

### Numerical study of solitary wave stability in cubic nonlinear Dirac equations in 1D

- Physics, Mathematics
- 2018

## References

SHOWING 1-10 OF 35 REFERENCES

### Solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity.

- Physics, MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

The nonrelativistic reduction is performed and the 1/2m correction to the NLSE is found, valid when |ω-m|<<2m , where ω is the frequency of the solitary wave in the rest frame.

### Nonlinear Spinor Fields

- Physics, Mathematics
- 1951

A nonlinear spinor field, suggested by the symmetric coupling between nucleons, muons, and leptons, has been investigated in the classical approximation. Solutions of the field equations having…

### Nonperturbative solution of two-body Dirac equations for quantum electrodynamics and related field theories.

- PhysicsPhysical review. D, Particles and fields
- 1992

The properties of these Dirac equations, which gave a good fit to the entire meson mass spectrum with constituent world scalar and vector potentials depending on just one or two parameters, are investigated by solving them numerically for quantum electrodynamics and related field theories.

### Dynamical symmetry breaking in asymptotically free field theories

- Physics
- 1974

Two-dimensional massless fermion field theories with quartic interactions are analyzed. These models are asymptotically free. The models are expanded in powers of $\frac{1}{N,}$ where $N$ is the…

### Chiral Confinement: An Exact Solution of the Massive Thirring Model

- Physics
- 1975

We investigate the possibility of fermion confinement in a manifestly chiral-invariant theory. In particular we study the nonlinear $\ensuremath{\sigma}$ model in one time and one space dimension,…

### Formal analogy between the Dirac equation in its Majorana form and the discrete-velocity version of the Boltzmann kinetic equation.

- PhysicsPhysical review letters
- 2013

This analogy between the Dirac equation in Majorana form and the discrete-velocity version of the Boltzmann kinetic equation is shown to turn into a concrete and efficient computational method, providing a unified treatment of relativistic and nonrelativistic quantum mechanics.

### Exact localized solutions of two-dimensional field theories of massive fermions with Fermi interactions

- Physics
- 1975

The classical equations of motion for field theories of massive fermions with Fermi interactions in one space and one time dimension are investigated. It is shown that they all possess exact…