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The effects of background fields on vector financial rogue wave pattern

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Abstract

We study the structure of financial rogue waves with variable stock volatility. We find that there are mainly three types of rogue wave patterns in the coupled system, namely eye-shaped, anti-eye-shaped, and four-petaled. The transition between them can be induced by relative wave vector and amplitude difference between the two background fields. The results will help us achieve a deep understanding of financial rogue waves and suggest a number of implications.

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References

  1. F. Black, M. Scholes, J. Pol. Econ. 81, 637 (1973)

    Article  MATH  Google Scholar 

  2. R.C. Merton, Bell J. Econ. Manage Sci. 4, 141 (1973)

    Article  MathSciNet  Google Scholar 

  3. Z. Bodie, K. Alex, J.M. Alan, in Investments, 7th edn. (McGraw-Hill, New York, 2008), pp. 770–771

  4. L. Beni, S. Paul, J. Finance 45, 1181 (1990)

    Article  Google Scholar 

  5. J.P. Fouque, G. Papanicolau, K.R. Sircar, Derivatives in Financial Markets with Stochastic Volatility (Cambdrige University Press, Cambridge, 2000)

  6. R. Cont, Quant. Financ. 1, 223 (2001)

    Article  Google Scholar 

  7. V.G. Ivancevic, Cognitive Computation 2, 17 (2010)

    Article  Google Scholar 

  8. Z.Y. Yan, Commun. Theor. Phys. 54, 947 (2010)

    Article  MATH  ADS  Google Scholar 

  9. Z.Y. Yan, Phys. Lett. A 375, 4274 (2011)

    Article  MATH  ADS  Google Scholar 

  10. L.C. Zhao, J. Liu, J. Opt. Soc. Am. B 29, 3119 (2012)

    Article  ADS  Google Scholar 

  11. F. Baronio et al., Phys. Rev. Lett. 109, 044102 (2012)

    Article  ADS  Google Scholar 

  12. B.L. Guo, L.M. Ling, Chin. Phys. Lett. 28, 110202 (2011)

    Article  ADS  Google Scholar 

  13. X. Wang, B. Yang, Y. Chen, Y.Q. Yang, Chin. Phys. Lett. 31, 090201 (2014)

    Article  ADS  Google Scholar 

  14. N. Akhmediev, A. Ankiewicz, J.M. Soto-Crespo, Phys. Rev. E 80, 026601 (2009)

    Article  ADS  Google Scholar 

  15. N. Akhmediev, A. Ankiewicz, J.M. Soto-Crespo, J.M. Dudley, Phys. Lett. A 375, 541 (2011)

    Article  MATH  ADS  Google Scholar 

  16. X. Wang, Y. Li, Y. Chen, Wave Motion 51, 1149 (2014)

    Article  MathSciNet  Google Scholar 

  17. X. Wang, B. Yang, Y. Chen, Y.Q. Yang, Phys. Scr. 89, 095210 (2014)

    Article  ADS  Google Scholar 

  18. Q. Tian, Q. Yang, C.Q. Dai, J.F. Zhang, Opt. Commun. 284, 2222 (2011)

    Article  ADS  Google Scholar 

  19. C.Q. Dai, G.Q. Zhou, J.F. Zhang, Phys. Rev. E 85, 016603 (2012)

    Article  ADS  Google Scholar 

  20. L.C. Zhao, C. Liu, Z.Y. Yang, Commun. Nonlinear Sci. Numer. Simul. 20, 9 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  21. L.M. Ling, B.L. Guo, L.C. Zhao, Phys. Rev. E 89, 041201(R) (2014)

    Article  ADS  Google Scholar 

  22. L.C. Zhao, J. Liu, Phys. Rev. E 87, 013201 (2013)

    Article  ADS  Google Scholar 

  23. F. Baronio, M. Conforti, A. Degasperis, S. Lombardo, Phys. Rev. Lett. 111, 114101 (2013)

    Article  ADS  Google Scholar 

  24. S.H. Chen, P. Grelu, J.M. Soto-Crespo, Phys. Rev. E 89, 011201(R) (2014)

    Article  ADS  Google Scholar 

  25. F. Baronio et al., Phys. Rev. Lett. 113, 034101 (2014)

    Article  ADS  Google Scholar 

  26. L.C. Zhao, G.G. Xin, Z.Y. Yang, Phys. Rev. E 90, 022918 (2014)

    Article  ADS  Google Scholar 

  27. Y. Ohta, J.K. Yang, Proc. R. Soc. A 468, 1716 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  28. B.L. Guo, L.M. Ling, Q.P. Liu, Phys. Rev. E 85, 026607 (2012)

    Article  ADS  Google Scholar 

  29. B.L. Guo, L.L. Ling, Q.P. Liu, Stud. Appl. Math. 130, 317 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  30. J.S. He et al., Phys. Rev. E 87, 052914 (2013)

    Article  ADS  Google Scholar 

  31. L.M. Ling, L.C. Zhao, Phys. Rev. E 88, 043201 (2013)

    Article  ADS  Google Scholar 

  32. F. Baronio, S.H. Chen, P. Grelu, S. Wabnitz, M. Conforti, Phys. Rev. A 91, 033804 (2015)

    Article  ADS  Google Scholar 

  33. L.C. Zhao, L.M. Ling, arXiv:1410.7536 (2015)

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Correspondence to Li-Chen Zhao.

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Wu, Y., Zhao, LC. & Lei, X. The effects of background fields on vector financial rogue wave pattern. Eur. Phys. J. B 88, 297 (2015). https://doi.org/10.1140/epjb/e2015-60508-4

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  • DOI: https://doi.org/10.1140/epjb/e2015-60508-4

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