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

Sihong Shao; Huazhong Tang

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arXiv · nlin/0604033

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

Sihong Shao·Huazhong Tang

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Abstract

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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BibTeX RIS

Sihong Shao, Huazhong Tang. 2006-04-17. Interaction for Solitary Waves with a Phase Difference in a Nonlinear Dirac Model. https://arxiv.org/abs/nlin/0604033

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