Interaction for Solitary Waves with a Phase Difference in a Nonlinear Dirac Model

Details Interaction for Solitary Waves with a Phase Difference in a Nonlinear Dirac Model Interaction for Solitary Waves with a Phase Difference in a Nonlinear Dirac Model

2006-04-17

arxiv.org/abs/nlin/0604033v1

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, Vol. 3, No. 4, pp. 950-967, 2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 18 figures

Scientific paper

This paper presents a further numerical study of the interaction dynamics for solitary waves in a nonlinear Dirac field with scalar self-interaction by using a fourth order accurate Runge-Kutta discontinuous Galerkin method. Our experiments are conducted on the Dirac solitary waves with a phase difference. Some interesting phenomena are observed: (a) full repulsion in binary and ternary collisions and its dependence on the distance between initial waves; (b) repulsing first, attracting afterwards, and then collapse in binary and ternary collisions of initially resting two-humped waves; (c) one-overlap interaction and two-overlap interaction in ternary collisions of initially resting waves.

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