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

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dc.creatorShao, Sihong
dc.creatorTang, Huazhong
dc.date2006-04-17
dc.date.accessioned2026-07-07T09:35:05Z
dc.date.available2026-07-07T09:35:05Z
dc.descriptionThis 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.
dc.description11 pages, 18 figures
dc.identifierhttps://arxiv.org/abs/nlin/0604033
dc.identifierhttp://arxiv.org/abs/nlin/0604033
dc.identifierCOMMUNICATIONS IN COMPUTATIONAL PHYSICS, Vol. 3, No. 4, pp. 950-967, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159717
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleInteraction for Solitary Waves with a Phase Difference in a Nonlinear Dirac Model
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