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Application of Kudryashov method for high-order nonlinear Schrödinger equation

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Abstract

Higher-order nonlinear Schrödinger equation for describing the propagation of femtosecond pulses in optical fibers is studied. Kudryashov method is used for obtaining exact soliton solutions of this equation.

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References

  1. A Biswas, E V Krishnan, P Suarez, A H Kara and S Kumar Indian J. Phys. 87 169 (2013)

    Article  ADS  Google Scholar 

  2. A H Bhrawy, M A Abdelkawy, S Kumar, S Johnson and A Biswas Indian J. Phys. 87 455 (2013)

    Article  ADS  Google Scholar 

  3. K Javidan and H R Pakzad Indian J. Phys. 86 1037 (2012)

    Article  ADS  Google Scholar 

  4. A Malik, F Chand, H Kumar and S C Mishra Indian J. Phys. 86 129 (2012)

    Article  ADS  Google Scholar 

  5. A Biswas and E V Krishnan Indian J. Phys. 85 1513 (2011)

    Article  ADS  Google Scholar 

  6. Z Emami and H R Pakzad Indian J. Phys. 85 1643 (2011)

    Article  ADS  Google Scholar 

  7. A Gharaati and R Khordad Indian J. Phys. 85 433 (2011)

    Article  ADS  Google Scholar 

  8. A Biswas Commun. Nonlinear Sci. Numer. Simulat. 14 2845 (2009)

    Article  ADS  MATH  Google Scholar 

  9. G Ebadi and A Biswas Commun. Nonlinear Sci. Numer. Simulat. 16 2377 (2011); G Ebadi, A Mojaver, S Johnson, S Kumar and A Biswas Indian J. Phys. 86 1115 (2012)

  10. A Biswas Phys. Lett. A 372 4601 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. A Biswas Comput. Math. Appl. 59 2538 (2010)

    Article  Google Scholar 

  12. G Ebadi and A Biswas Math. Comput. Model. 53 694 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  13. H Kumar, A Malik, F Chand and S C Mishra Indian J. Phys. 86 819 (2012)

    Article  ADS  Google Scholar 

  14. A J M Jawad, S Johnson, A Yildirim, S Kumar and A Biswas Indian J. Phys. 87 281 (2013)

    Article  ADS  Google Scholar 

  15. W X Ma, T W Huang and Y Zhang Phys. Scr. 82 065003 (2010)

    Article  ADS  Google Scholar 

  16. R Hirota Phys. Rev. Lett. 27 1192 (1971)

    Article  ADS  MATH  Google Scholar 

  17. R Hirota The Direct Method in Soliton Theory (Cambridge: Cambridge University Press) (2004)

    Book  MATH  Google Scholar 

  18. W X Ma and J H Lee Chaos Solitons Fract. 42 1356 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. L L Xiao and W M Liang Appl. Math. Comput. 208 440 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  20. L P Xu and J L Zhang Chaos Solitons Fract. 31 937 (2007)

    Article  ADS  MATH  Google Scholar 

  21. P Green and A Biswas Commun. Nonlinear Sci. Numer. Simulat. 15 3865 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. P Green, D Milovic, A K Sarma, D A Lott and A Biswas J. Nonlinear Opt. Phys. Mater. 19 339 (2010)

    Article  ADS  Google Scholar 

  23. E Topkara, D Milovic, A K Sarma, E Zerrad and A Biswas Commun. Nonlinear Sci. Numer. Simulat. 9 2320 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  24. R Kohl, A Biswas, D Milovic and E Zerrad Opt. Laser Technol. 40 647 (2008)

    Article  ADS  Google Scholar 

  25. R Kohl, D Milovic, E Zerrad and A Biswas J. Nonlinear Opt. Phys. Mater. 18 227 (2009)

    Article  ADS  Google Scholar 

  26. L Girgis, K R Khan, D Milovic, S H Crutcher, S Konar and A Biswas Opt. Laser Technol. 44 1219 (2012)

    Article  ADS  Google Scholar 

  27. L Girgis, D Milovic, S Konar, A Yildirim, H Jafari and A Biswas Romanian Rep. Phys. 64 663 (2012)

    Google Scholar 

  28. A Biswas, K Khan, A Rahman, A Yildirim, T Hayat and O M Aldossary J. Optoelectron. Adv. Mater. 14 571 (2012)

    Google Scholar 

  29. L Girgis, D Milovic, T Hayat, O M Aldossary and A Biswas Opt. Applicata 42 447 (2012)

    Google Scholar 

  30. A Biswas Opt. Fiber Technol. 9 224 (2003)

    Article  ADS  Google Scholar 

  31. N A Kudryashov J. Appl. Math. Mech. 52 361 (1988)

    Article  MathSciNet  Google Scholar 

  32. N A Kudryashov Commun. Nonlinear Sci. Numer. Simulat. 17 2248 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. N A Kudryashov, P N Ryabov, T E Fedyanin and A A Kutukov Phys. Lett. A 377 753 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  34. N A Kudryashov and M B Kochanov Appl. Math. Comput. 219 1793 (2012)

    Article  MathSciNet  Google Scholar 

  35. P N Ryabov Appl. Math. Comput. 217 3585 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  36. N Taghizadeh and M Mirzazadeh Appl. Appl. Math. 7 488 (2012)

    MathSciNet  MATH  Google Scholar 

  37. W X Ma and B Fuchssteiner Inter. J. Nonlinear Mech. 31 329 (1996)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Guilan, Rasht, Iran

    N Taghizadeh & M Mirzazadeh

  2. Department of Mathematics, Islamic Azad University, Masjed Soleiman, Iran

    A Mahmoodirad

Authors
  1. N Taghizadeh
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  2. M Mirzazadeh
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  3. A Mahmoodirad
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Correspondence to M Mirzazadeh.

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Taghizadeh, N., Mirzazadeh, M. & Mahmoodirad, A. Application of Kudryashov method for high-order nonlinear Schrödinger equation. Indian J Phys 87, 781–785 (2013). https://doi.org/10.1007/s12648-013-0296-2

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  • DOI: https://doi.org/10.1007/s12648-013-0296-2

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