This paper presents a review of the current state-of-the-art of numerical methods for
nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+ 1) …

Stability under dilations of nonlinear spinor fields Page 1 PHYSICAL REVIEW 0 VOLUME 34,
NUMBER 2 Brief Reports 15 JULY 1986 Brief Reports are short papers which report on …

Linearized Crank-Nicholson scheme for nonlinear Dirac equations | Journal of Computational
Physics skip to main content ACM Digital Library home ACM Association for Computing …

This Letter presents a numerical study of the interaction dynamics for the solitary waves of a
nonlinear Dirac field with scalar self-interaction by using a fourth order accurate Runge …

This paper presents an efficient adaptive mesh redistribution method to solve a non-linear
Dirac (NLD) equation. Our algorithm is formed by three parts: the NLD evolution, the iterative …

In this work, four numerical time‐splitting methods are proposed for the (1+ 1)‐dimensional
nonlinear Dirac equation. All of these methods (or schemes) are proved to satisfy the charge …

This paper presents a further numerical study of the interaction dynamics for solitary waves
in a nonlinear Dirac model with scalar self-interaction, the Soler model, by using a fourth …

We consider the nonlinear Dirac (NLD) equation in (1+ 1) dimensions with scalar–scalar self
interaction $\displaystyle\frac {{g}^{2}}{\kappa+ 1}{(\bar {{\rm {\Psi}}}{\rm {\Psi}})}^{\kappa+ 1} …

Stability of the minimum solitary wave of a nonlinear spinorial model Page 1 PHYSICAL REVIE%'
0 VOLUME 34, NUMBER 2 Stability of the minimum solitary wave of a nonlinear spinorial …

We consider the nonlinear Dirac equation in 1+ 1 dimension with scalar–scalar self-
interaction in the presence of external forces as well as damping of the form ${{\gamma}^{0}} …