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Lump, lumpoff and rogue waves for a (2 + 1)-dimensional reduced Yu-Toda-Sasa-Fukuyama equation in a lattice or liquid

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Abstract.

Lattices and liquids are common in physics, engineering, science, nature and life. The Yu-Toda-Sasa-Fukuyama (YTSF) equation describes the elastic quasiplane wave in a lattice or interfacial wave in a two-layer liquid. A (2 + 1)-dimensional reduced YTSF equation is studied in this paper. With symbolic computation, we get the lump solutions more general than those in the existing literature, which orient in all directions of space and time with more parameters. Via the lump solutions, we get the moving path of lump waves, lumpoff solutions and moving path of the lumpoff waves, which describe interactions between one stripe soliton and a lump wave. When the lump solutions produce the one stripe solitons, the lumpoff solutions are constructed. When a pair of stripe solitons cut lump wave, the rogue wave emerges. Time and place for the rogue wave to appear can be obtained from the coordinates of the interaction points between a pair of stripe solitons and the lump wave.

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References

  1. V. Burakov, V. Kiris, M. Nedelko, N. Tarasenka, A. Nevar, J. Appl. Phys. 51, 484001 (2018)

    Google Scholar 

  2. A.P. Gaiduk, T.A. Pham, M. Govoni, F. Paesani, G. Galli, Nat. Commun. 9, 247 (2018)

    Article  ADS  Google Scholar 

  3. R.B. Lsrael, Convexity in the Theory of Lattice Gases (Princeton University Press, Princeton, 2015)

  4. R. Landig, L. Hruby, N. Dogra, M. Landini, R. Mottl, T. Donner, T. Esslinger, Nature 532, 476 (2016)

    Article  ADS  Google Scholar 

  5. N. Barnea, L. Contessi, D. Gazit, F. Pederiva, U. Van Kolck, Phys. Rev. Lett. 114, 052501 (2015)

    Article  ADS  Google Scholar 

  6. M. Gedalin, T.C. Scott, Y.B. Band, Phys. Rev. Lett. 78, 448 (1997)

    Article  ADS  Google Scholar 

  7. A.R. Seadawy, Comput. Math. Appl. 71, 201 (2016)

    Article  MathSciNet  Google Scholar 

  8. X.Y. Xie, G.Q. Meng, Nonlinear Dyn. 93, 675 (2018)

    Article  Google Scholar 

  9. X.Y. Xie, G.Q. Meng, Chaos Solitons Fractals 107, 143 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  10. N. Akhmediev, A. Ankiewicz, M. Taki, Phys. Lett. A 373, 675 (2009)

    Article  ADS  Google Scholar 

  11. L. Stenflo, M. Marklund, J. Plasma Phys. 76, 293 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. D.R. Solli, C. Ropers, P. Koonath, B. Jalali, Nature 450, 1054 (2007)

    Article  ADS  Google Scholar 

  14. Y.V. Bludov, V.V. Konotop, N. Akhmediev, Eur. Phys. J. ST 185, 169 (2010)

    Article  Google Scholar 

  15. W.M. Moslem, R. Sabry, S.K. EI-Labany, P.K. Shukla, Phys. Rev. E 84, 066402 (2011)

    Article  ADS  Google Scholar 

  16. H. Bailung, S.K. Sharma, Y. Nakamura, Phys. Rev. Lett 107, 255005 (2011)

    Article  ADS  Google Scholar 

  17. W.X. Ma, Phys. Lett. A 379, 1975 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  18. J.Y. Yang, W.X. Ma, Anal. Math. Phys. 8, 427 (2018)

    Article  MathSciNet  Google Scholar 

  19. X. Lü, S.T. Chen, W.X. Ma, Nonlinear Dyn. 86, 523 (2016)

    Article  Google Scholar 

  20. P. Zhang, M. Jia, Chin. Phys. B 27, 120201 (2018)

    Article  Google Scholar 

  21. W.Q. Peng, S.F. Tian, T.T. Zhang, Phys. Lett. A 27, 2701 (2018)

    Article  ADS  Google Scholar 

  22. T. Fang, Y.H. Wang, Anal. Math. Phys. 58, 1 (2018)

    Google Scholar 

  23. H.M. Yin, B. Tian, J. Chai, X.Y. Wu, W.R. Sun, Appl. Math. Lett. 58, 178 (2016)

    Article  MathSciNet  Google Scholar 

  24. A.M. Wazwaz, Appl. Math. Comput. 203, 592 (2008)

    MathSciNet  Google Scholar 

  25. R. Hirota, Y. Ohta, J. Phys. Soc. Jpn. 60, 798 (1991)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China

    Meng Wang, Bo Tian, Xia-Xia Du, Chen-Rong Zhang & Ze Zhang

  2. School of Information, University of International Business and Economics, 100029, Beijing, China

    Qi-Xing Qu

Authors
  1. Meng Wang
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  2. Bo Tian
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  3. Qi-Xing Qu
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  4. Xia-Xia Du
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  5. Chen-Rong Zhang
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  6. Ze Zhang
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Correspondence to Bo Tian.

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Wang, M., Tian, B., Qu, QX. et al. Lump, lumpoff and rogue waves for a (2 + 1)-dimensional reduced Yu-Toda-Sasa-Fukuyama equation in a lattice or liquid. Eur. Phys. J. Plus 134, 578 (2019). https://doi.org/10.1140/epjp/i2019-12909-2

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  • DOI: https://doi.org/10.1140/epjp/i2019-12909-2

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