Interaction for the solitary waves of a nonlinear Dirac model

Citation:

Shao S, Tang H. Interaction for the solitary waves of a nonlinear Dirac model. Physics Letters A [Internet]. 2005;345:119-128.

摘要:

This paper 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-Kutta discontinuous Galerkin (RKDG) method. Some new interaction phenomena are observed: (a) a new quasi-stable long-lived oscillating bound state from the binary collisions of a single-humped soliton and a two-humped soliton; (b) collapse in  binary and ternary collisions; (c) strongly inelastic interaction  in ternary collisions; and (d)  bound states with a short or long lifetime from  ternary collisions. 

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