• Chinese Physics B
  • Vol. 29, Issue 8, (2020)
Sen-Yue Lou
Author Affiliations
  • School of Physical Science and Technology, Ningbo University, Ningbo 315211, China
  • show less
    DOI: 10.1088/1674-1056/ab9699 Cite this Article
    Sen-Yue Lou. A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures[J]. Chinese Physics B, 2020, 29(8): Copy Citation Text show less
    References

    [1] D G Crighton. Appl. Math, 39, 39(1995).

    [2] H Y Guo, Z H Wang, K Wu. Phys. Lett. B, 264, 277(1991).

    [3] C S Gardner, J M Greene, M D Kruskal, R M Miura. Phys. Rev. Lett, 19, 1095(1967).

    [4] A Nagai, R Hirota, J Nimmo, C Gilson. The direct method in soliton theory, 1-61(2004).

    [5] C H Gu, H S Hu, Z X Zhou. Darboux Transformations in Integrable Systems: Theory and their Applications to Geommetry, 1-64(2005).

    [6] B B Kadomtsev, V I Petviashvili. Sov. Phys. Dokl, 15, 539(1970).

    [7] L P Nizhnik. Sov. Phys. Dokl, 25, 706(1980).

    [8] A P Veselov, S P Novikov. Sov. Math. Dokl, 30, 588(1984).

    [9] S P Novikov, A P Veselov. Physica D, 18, 267(1986).

    [10] S Y Lou, X B Hu. J. Math. Phys, 38, 6401(1997).

    [11] S Y Lou, H Y Ruan. J. Phys. A: Math. Gen, 35, 305(2001).

    [12] M Boiti, J J P Leon, M Manna, F Pempinelli. Inverse Problems, 2, 271(1986).

    [13] M Ito. J. Phys. Soc. Jpn, 49, 771(1990).

    [14] G I Bogoyavlenskii. Russ. Math. Surveys, 45, 1(1990).

    [15] S Y Lou. Commun. Theor. Phys, 28, 41(1997).

    [16] M Stratmann, T Pagel, F Mitschke. Phys. Rev. Lett, 95(2005).

    [17] G Herink, F Kurtz, B Jalali, D R Solli, C Ropers. Science, 356, 50(2017).

    [18] X M Liu, X K Yao, Y D Cui. Phys. Rev. Lett, 121(2018).

    [19] C Wang, L Wang, X H Li et al. Nanotechnology, 30(2019).

    [20] K Łakomy, R Nath, L Santos. Phys. Rev. A, 86(2012).

    [21] J S Peng, S Boscolo, Z H Zhao, H P Zeng. Sci. Adv, 5(2019).

    [22] L C Crasovan, Y V Kartashov, D Mihalache, L Torner, Y S Kivshar, V M Perez-Garcia. Phys. Rev. E, 67(2003).

    [23] C Yin, N G Berloff, V M Perez-Garcia, D Novoa, A V Carpentier, H Michinel. Phys. Rev. A, 83(2011).

    [24] S Y Lou. J. Phys. Commun, 4(2020).

    [25] D H Xu, S Y Lou. Acta Phys. Sin, 69(2020).

    [26] A S Fokas, Q M Liu. Phys. Rev. Lett, 77, 2347(1996).

    [27] Z Zhang, X Y Yang, B Li. Appl. Math. Lett, 103(2020).

    [28] C J Cui, X Y Tang, Y J Cui. Appl. Math. Lett, 102(2020).

    [29] Z W Yan, S Y Lou. Appl. Math. Lett, 104(2020).

    [30] S Y Lou. Phys. Rev. Lett, 71, 4099(1993).

    [31] S Y Lou. J. Phys. A: Math. Gen, 26, 4387(1993).

    [32] S Y Lou. J. Math. Phys, 35, 1755(1994).

    [33] S Y Lou. Physica Scripta, 57, 481(1998).

    [34] X B Hu, S Y Lou, X M Qian. Stud. Appl. Math, 122, 305(2009).

    [35] S Y Lou. J. Math. Phys, 59(2018).

    [36] S Y Lou. Acta Phys. Sin, 69(2020).

    [37] S J Im, A Husakou, J Herrmann. Phys. Rev. A, 82(2010).

    [38] Y Y Sun, H Wu. Phys. Scr, 88(2013).

    [39] Z J Gao, J Lin. Opt. Express, 26, 9027(2018).

    [40] Z J Gao, H J Li, J Lin. J. Opt. Soc. Am. B, 36, 312(2019).

    Sen-Yue Lou. A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures[J]. Chinese Physics B, 2020, 29(8):
    Download Citation