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Dynamics of Solitons in Coupled System of Scalar Fields

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Abstract

The dynamics of interacting solitons of a system of two coupled nonlinear partial differential equations is studied numerically using a finite difference method in bi-dimensional spacetime. Stable, static topological solitons are obtained from an iterative-variational method, and used as initial solutions for the dynamical calculations. Some of the static solutions decay to stable solitons. Some subtle aspects of topological charges for the system under consideration are also discussed.

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References

  • Ames, W. F. (1992). Numerical Methods for Partial Differential Equations, 3rd edn., Academic Press Inc.

  • Bazeia, D., Boschi-Filho, H., and Brito, F. A. (1999). Domain Defects in Systems of Two Real Scalar Fields, [arXiv:hep-the/9811084 v3].

  • Bazeia, D., Nascimento, J. R. S., Ribeiro, R. F., and Toledo, D. (1997). Journal of Physics A; Mathematical and General 30, 8157.

    Google Scholar 

  • Bazeia, D., Ribeiro, R. F., and Santos, M. M. (1996). Physical Review D 54(2), 54.

    Article  Google Scholar 

  • Friedberg, R., Lee, T. D., and Sirlin, A. (1976). Physical Review D 13, 2739.

    Article  CAS  Google Scholar 

  • Patani, A., Schlindwein, M., and Shafi, Q. (1976). Journal of Physics A; Mathematical and General 9, 1513.

    Google Scholar 

  • Rajaraman, R. (1979). Physical Review Letters 42(4), 200.

    Article  CAS  Google Scholar 

  • Rajaraman, R. (1982). Solitons and Instantons, North-Holland, Amsterdam.

    Google Scholar 

  • Riazi, N. and Gharaati, A. R. (1998). International Journal of Theoretical Physics 37(3), 1081.

    Article  CAS  Google Scholar 

  • Riazi, N., Azizi, A., and Zebarjad, S. M. (2003). Physical Review D 66, 065003.

    Article  Google Scholar 

  • Riazi, N., Golshan, M. M., and Mansouri, K. (2001). International Journal of Theoretical Physics, G.T.N.O. 7(3), 91.

    Google Scholar 

  • Vilenkin, A. and Shellard, E. P. S. (1994). Cosmic Strings and Other Topological Defects, Cambridge University Press, Cambridge, England.

    Google Scholar 

  • Williams, J. G. (1970). Journal of Mathematical Physics 11, 2611.

    Article  Google Scholar 

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Correspondence to N. Riazi.

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Mansouri, K., Riazi, N. Dynamics of Solitons in Coupled System of Scalar Fields. Int J Theor Phys 44, 309–317 (2005). https://doi.org/10.1007/s10773-005-3255-7

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  • DOI: https://doi.org/10.1007/s10773-005-3255-7

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