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- W2317392308 abstract "This paper extends Runge-Kutta discontinuous Galerkin (RKDG) methods to a nonlinear Dirac (NLD) model in relativistic quantum physics, and investigates interaction dynamics of corresponding solitary wave solutions. Weak inelastic interaction in ternary collisions is first observed by using high-order accurate schemes on finer meshes. A long-lived oscillating state is formed with an approximate constant frequency in collisions of two standing waves; another is with an increasing frequency in collisions of two moving solitons. We also prove three continuum conservation laws of the NLD model and an entropy inequality, i.e. the total charge non-increasing, of the semi-discrete RKDG methods, which are demonstrated by various numerical examples." @default.
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- W2317392308 date "2006-01-01" @default.
- W2317392308 modified "2023-10-06" @default.
- W2317392308 title "Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model" @default.
- W2317392308 doi "https://doi.org/10.3934/dcdsb.2006.6.623" @default.
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