Year 2019,
Volume: 1 Issue: 2, 56 - 59, 29.12.2019
Eren Tosyalı
,
Fatma Aydogmus
Supporting Institution
Istanbul Univertsity
Project Number
FBA-2018-28954
References
- [1] F. Gursey, On a conform-invariant spinor wave equation, Nuovo Cimento, 1956 3, 988.
- [2] F. Aydogmus, Dynamics of Excited Instantons in the System of Forced Gursey Nonlinear Differential Equations, Journal of Experimental and Theoretical Physics, 2015, 120, 2, 210-216.
- [3] F. Aydogmus and E. Tosyali, Common Behaviours of Spinor Type Instantons in 2-D Thirring and 4-D Gursey Fermionic Models, Advances in High Energy Physics, 148375 (1-11), (2014).
- [4] F. Aydogmus, Chaos in a 4D dissipative nonlinear fermionic model, J. Mod. Phys. C, 2015, 26(7), 1550083.
- [5] F. Aydogmus, Unstable Behaviors of Classical Solutions in Spinor-type Con- formal Invariant Fermionic Models, Journal of Experimental and Theoretical Physics, 2017, 125, 5, 719-727.
- [6] M. Dunajski, Solitons, Instantons, and Twistors, Oxford University Press, New York, 2010.
- [7] M. Soler, Ciassical, Stable, Nonlinear Spinor Field with Positive Rest Energy, Phys. Rev. D1, 1970, 2766.
- [8] S. Sagaltici, M.S. Thesis, Istanbul University, Institute of Science, Physics Department, Istanbul, Turkey, 2004.
Soliton Solutions of Gursey Model with Bichromatic Force
Year 2019,
Volume: 1 Issue: 2, 56 - 59, 29.12.2019
Eren Tosyalı
,
Fatma Aydogmus
Abstract
Gursey proposed a spinor field equation which is similar to Heisenberg’s nonlinear generalization of Dirac’s equation. This equation is the first nonlinear conformal invariant wave equation. In this paper, we investigate the soliton solutions in Gursey wave equation held in a tilted bichromatic force by constructing their Poincaré sections in phase space depending on the system parameters.
Project Number
FBA-2018-28954
References
- [1] F. Gursey, On a conform-invariant spinor wave equation, Nuovo Cimento, 1956 3, 988.
- [2] F. Aydogmus, Dynamics of Excited Instantons in the System of Forced Gursey Nonlinear Differential Equations, Journal of Experimental and Theoretical Physics, 2015, 120, 2, 210-216.
- [3] F. Aydogmus and E. Tosyali, Common Behaviours of Spinor Type Instantons in 2-D Thirring and 4-D Gursey Fermionic Models, Advances in High Energy Physics, 148375 (1-11), (2014).
- [4] F. Aydogmus, Chaos in a 4D dissipative nonlinear fermionic model, J. Mod. Phys. C, 2015, 26(7), 1550083.
- [5] F. Aydogmus, Unstable Behaviors of Classical Solutions in Spinor-type Con- formal Invariant Fermionic Models, Journal of Experimental and Theoretical Physics, 2017, 125, 5, 719-727.
- [6] M. Dunajski, Solitons, Instantons, and Twistors, Oxford University Press, New York, 2010.
- [7] M. Soler, Ciassical, Stable, Nonlinear Spinor Field with Positive Rest Energy, Phys. Rev. D1, 1970, 2766.
- [8] S. Sagaltici, M.S. Thesis, Istanbul University, Institute of Science, Physics Department, Istanbul, Turkey, 2004.