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Year 2019, Volume: 1 Issue: 2, 56 - 59, 29.12.2019

Abstract

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

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.
There are 8 citations in total.

Details

Primary Language English
Subjects Software Engineering (Other)
Journal Section Articles
Authors

Eren Tosyalı

Fatma Aydogmus This is me

Project Number FBA-2018-28954
Publication Date December 29, 2019
Acceptance Date November 6, 2019
Published in Issue Year 2019 Volume: 1 Issue: 2

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