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Interaction of exploding dissipative solitons

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Abstract

We investigate the collisions of two counter-propagating exploding dissipative solitons (DSs). We demonstrate that six different outcomes can occur as a function of the nonlinear cross-coupling between the counter-propagating waves: complete interpenetration, one compound exploding DS as well as four types of two compound DSs that can be stationary, have one or two frequencies or are exploding. Since exploding DSs have been observed experimentally predominantly in nonlinear optics, we conjecture that our predictions for their interactions can be tested in laser systems.

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References

  1. N.J. Zabusky, M.D. Kruskal, Phys. Rev. Lett. 15, 240 (1965)

    Article  MATH  ADS  Google Scholar 

  2. Dissipative Solitons: From optics to biology and medicine, edited by N. Akhmediev, A. Ankiewicz (Springer, Heidelberg, 2008)

  3. R. Heinrichs, G. Ahlers, D.S. Cannell, Phys. Rev. A 35, 2761 (1987)

    Article  ADS  Google Scholar 

  4. E. Moses, J. Fineberg, V. Steinberg, Phys. Rev. A 35, 2757 (1987)

    Article  ADS  Google Scholar 

  5. J.J. Niemela, G. Ahlers, D.S. Cannell, Phys. Rev. Lett. 64, 1365 (1990)

    Article  ADS  Google Scholar 

  6. P. Kolodner, D. Bensimon, C.M. Surko, Phys. Rev. Lett. 60, 1723 (1988)

    Article  ADS  Google Scholar 

  7. O. Thual, S. Fauve, J. Phys. 49, 1829 (1988)

    Article  Google Scholar 

  8. W. van Saarloos, P.C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990)

    Article  ADS  Google Scholar 

  9. V. Hakim, P. Jakobsen, Y. Pomeau, Europhys. Lett. 11, 19 (1990)

    Article  ADS  Google Scholar 

  10. S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990)

    Article  ADS  Google Scholar 

  11. B.A. Malomed, A.A. Nepomnyashchy, Phys. Rev. A 42, 6009 (1990)

    Article  ADS  Google Scholar 

  12. W. van Saarloos, P.C. Hohenberg, Physica D 56, 303 (1992)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. P. Marcq, H. Chaté, R. Conte, Physica D 73, 305 (1994)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. P. Kolodner, Phys. Rev. A 44, 6466 (1991)

    Article  ADS  Google Scholar 

  15. H.H. Rotermund, S. Jakubith, A. von Oertzen, G. Ertl, Phys. Rev. Lett. 66, 3083 (1991)

    Article  ADS  Google Scholar 

  16. A. von Oertzen, A.S. Mikhailov, H.H. Rotermund, G. Ertl, J. Phys. Chem. B 102, 4966 (1998)

    Article  Google Scholar 

  17. H. Kuwayama, S. Ishida, Sci. Rep. 3, 2272 (2013)

    Article  ADS  Google Scholar 

  18. H.R. Brand, R.J. Deissler, Phys. Rev. Lett. 63, 2801 (1989)

    Article  ADS  Google Scholar 

  19. O. Descalzi, O.A. Rosso, H.A. Larrondo, Eur. Phys. J. Special Topics 223, 1 (2014)

    Article  ADS  Google Scholar 

  20. O. Descalzi, J. Cisternas, H.R. Brand, Phys. Rev. E 74, 065201 (R) (2006)

    Article  ADS  Google Scholar 

  21. O. Descalzi, J. Cisternas, D. Escaff, H.R. Brand, Phys. Rev. Lett. 102, 188302 (2009)

    Article  ADS  Google Scholar 

  22. R.J. Deissler, H.R. Brand, Phys. Rev. E 51, 852 (1995)

    Article  ADS  Google Scholar 

  23. J. Kosek, M. Marek, Phys. Rev. Lett. 74, 2134 (1995)

    Article  ADS  Google Scholar 

  24. T. Ohta, Y. Hayase, R. Kobayashi, Phys. Rev. E 54, 6074 (1996)

    Article  ADS  Google Scholar 

  25. S. Yamanaka, T. Ohta, Phys. Rev. E 90, 042927 (2014)

    Article  ADS  Google Scholar 

  26. J.M. Soto-Crespo, N. Akhmediev, A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000)

    Article  ADS  Google Scholar 

  27. N. Akhmediev, J.M. Soto-Crespo, G. Town, Phys. Rev. E 63, 056602 (2001)

    Article  ADS  Google Scholar 

  28. J.M. Soto-Crespo, N. Akhmediev, N. Devine, C. Mejia-Cortes, Opt. Express 16, 15388 (2008)

    Article  ADS  Google Scholar 

  29. S.T. Cundiff, J.M. Soto-Crespo, N. Akhmediev, Phys. Rev. Lett. 88, 073903 (2002)

    Article  ADS  Google Scholar 

  30. O. Descalzi, H.R. Brand, Phys. Rev. E 82, 026203 (2010)

    Article  ADS  Google Scholar 

  31. C. Cartes, O. Descalzi, H.R. Brand, Eur. Phys. J. Special Topics 223, 2145 (2014)

    Article  ADS  Google Scholar 

  32. A.F.J. Runge, N.G.R. Broderick, M. Erkintalo, Optica 2, 36 (2015)

    Article  Google Scholar 

  33. O. Descalzi, H.R. Brand, Phys. Rev. E 90, 020901 (2014)

    Article  ADS  Google Scholar 

  34. O. Descalzi, N. Akhmediev, H.R. Brand, Phys. Rev. E 88, 042911 (2013)

    Article  ADS  Google Scholar 

  35. C. Cartes, J. Cisternas, O. Descalzi, H.R. Brand, Phys. Rev. Lett. 109, 178303 (2012)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. Mons. Álvaro del Portillo 12.455, Las Condes, Santiago, Chile

    Orazio Descalzi

  2. Department of Physics, University of Bayreuth, 95440, Bayreuth, Germany

    Orazio Descalzi & Helmut R. Brand

Authors
  1. Orazio Descalzi
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  2. Helmut R. Brand
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Correspondence to Orazio Descalzi or Helmut R. Brand.

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Descalzi, O., Brand, H. Interaction of exploding dissipative solitons. Eur. Phys. J. B 88, 219 (2015). https://doi.org/10.1140/epjb/e2015-60537-y

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  • DOI: https://doi.org/10.1140/epjb/e2015-60537-y

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