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Dynamics of coupled field solitons: A collective coordinate approach

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Abstract

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional space-time, with the main motivation of studying classical stability of soliton solutions using collective coordinate approach. First, we present the class of systems of the collective coordinate equations which are derived using the presented method. After that, we follow the dynamics of the coupled fields with local inhomogeneity like a delta function potential wall as well as a delta function potential well. The results of the investigation of the two coupled fields are compared to each other and the differences are discussed. The method can predict most of the characters of the interaction.

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References

  1. Y S Kivshar, Z Fei and L Vasquez, Phys. Rev. Lett. 67, 1177 (1991)

  2. Z Fei, Y S Kivshar and L Vasquez, Phys. Rev. A 46, 5214 (1992)

  3. S Nazifkar and K Javidan, Braz. J. Phys. 40, 102 (2010)

  4. D Saadatmand and K Javidan, Braz. J. Phys. 43, 48 (2013)

  5. R De Lima Rodrigues, B P de Silva Filho and A N Vaidya, Phys. Rev. D 58, 125023 (1998)

  6. D Bazeia and R F Ribeiro, Phys. Rev. D 54, 1852 (1996)

  7. A Halavanau, T Romanczukiewicz and Ya Shnir, Phys. Rev. D 86, 085027 (2012)

  8. D Bazeia, M J Dos Santos and R F Ribeiro, Phys. Lett. A 208, 84 (1995)

  9. Z Fei, Y S Kivshar and L Vasquez, Phys. Rev. A 46, 5214 (1992)

  10. B Piette, W J Zakrzewski and J Brand, J. Phys. A: Math. Gen. 38, 10403 (2005)

  11. B Piette and W J Zakrzewski, J. Phys. A: Math. Theor. 40(2), 329 (2007)

  12. G Kalbermann, Phys. Lett. A 252, 37 (1999)

  13. E Hakimi and K Javidan, Phys. Rev. E 80, 016606 (2009)

  14. D Bazeia, J R S Nascimento, R F Ribeiro and D Toledo, J. Phys. A 30, 8157 (1997)

  15. N Riazi, M M Golshan and K Mansuri, Int. J. Theor. Phys. Group Theor. Non. Op., 7(3), 91 (2001)

  16. R Rajaraman, Phys. Rev. Lett. 42, 200 (1978)

  17. S Sarker, S E Trullinger and A R Bishop, Phys. Lett. A 59, 255 (1976)

  18. C Montonen, Nucl. Phys. B 112, 349 (1976)

  19. R Rajaraman and E Weinberg, Phys. Rev. D 15, 1694 (1977)

  20. N S Manton, Phys. Lett. B 110, 54 (1982)

  21. F Lund, Phys. Lett. A 159, 245 (1991)

  22. K Javidan, J. Math. Phys. 51, 112902 (2010)

  23. H Friedrich and J Trost, Phys. Rep. 397, 359 (2004)

  24. R Cote, H Friedrich and J Trost, Phys. Rev. A 56, 1781 (1997)

  25. D Saadatmand, K Javidan, Phys. Scr. 85, 025003 (2012)

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Acknowledgement

DS and AM would like to thank K Javidan for his useful discussions. This work is supported by Islamic Azad University of Quchan under grant.

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Authors and Affiliations

  1. Department of Physics, Quchan Branch, Islamic Azad University, Quchan, Iran

    DANIAL SAADATMAND, ALIAKBAR MORADI MARJANEH & MAHDI HEIDARI

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  1. DANIAL SAADATMAND
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  2. ALIAKBAR MORADI MARJANEH
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  3. MAHDI HEIDARI
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Correspondence to ALIAKBAR MORADI MARJANEH.

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SAADATMAND, D., MARJANEH, A.M. & HEIDARI, M. Dynamics of coupled field solitons: A collective coordinate approach. Pramana - J Phys 83, 505–517 (2014). https://doi.org/10.1007/s12043-014-0797-3

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