HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 72 (1984) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 72 No. 1 (1984) pp. 33-37

[ Full Text PDF : FREE ACCESS (237K) ]

Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation

Yuji Ishimori

Department of Applied Mathematics and Physics, Kyoto University, Kyoto 606

(Received February 7, 1984)

Abstract:

A nonlinear wave equation permitting topological vortices is proposed, which is a two-spatial-dimensional analogue of the classical continuous isotropic Heisenberg spin chain. Exact multi-vortex solutions of the equation are obtained by using Hirota's method. This shows that the dynamics of vortices are integrable.


URL : http://ptp.ipap.jp/link?PTP/72/33/
DOI : 10.1143/PTP.72.33

[ Full Text PDF : FREE ACCESS (237K) ] Citation:

References:

  1. R. K. Dodd, J. C. Eilbeck, J. D. Gibbon and H. C. Morris, Solitons and Nonlinear Wave Equations (Academic Press, New York and London, 1982).
  2. A. Jaffe and C. Taubes, Vortices and Monopoles (Birkhäuser, Boston, 1980).
  3. R. J. Creswick and H. L. Morrison, Phys. Lett. A76 (1980), 267[Elsevier].
  4. S. Takeno and S. Homma, Prog. Theor. Phys. 67 (1982), 1633[PTP]; ibid. 69 (1983), 773[PTP].
  5. A. A. Belavin and A. M. Polyakov, JETP Lett. 22 (1975), 245.
  6. E. A. Novikov and Y. B. Sedov, Sov. Phys. -JETP 48 (1978), 440.
  7. H. Aref and N. Pomphrey, Phys. Lett. A78 (1980), 297[Elsevier]; Proc. R. Soc. London A380 (1982), 359.
  8. L. A. Takhatajan, Phys. Lett. A64 (1977), 235[Elsevier].
  9. D. J. Benney and G. J. Roskes, Stud. Appl. Math. 48 (1969), 377.
  10. A. Davey and K. Stewartson, Proc. R. Soc. London A338 (1974), 101.
  11. D. Anker and N. C. Freeman, Proc. R. Soc. Lonodn A360 (1978), 529.
  12. R. Hirota, in Solitons, Topics in Current Physics Vol. 17, ed. R. K. Bullough and P. J. Caudrey (Springer-Verlag, Berlin-Heidelberg-New York, 1980), p. 157.
  13. R. Hirota, J. Phys. Soc. Jpn. 51 (1982), 323[JPSJ].
  14. D. V. Choodnovsky and G. V. Choodnovsky, Nuovo Cim. B40 (1977), 339.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 65 (1996) pp. 53-57 :
    (2+1) Dimensional Soliton Equations Covariant with respect to the Binary Darboux Transformation
    Kenji Imai and Kazuhiro Nozaki
  2. Journal of the Physical Society of Japan 75 (2006) 104002 (3 pages) :
    On the (2+1)-Dimensional Integrable Inhomogeneous Heisenberg Ferromagnet Equation
    Zhen-Huan Zhang, Ming Deng, Wei-Zhong Zhao and Ke Wu
  3. Journal of the Physical Society of Japan 81 (2012) 094006 (4 pages) :
    (2+1)-Dimensional Integrable Heisenberg Supermagnet Model
    Zhao-Wen Yan, Min-Ru Chen, Ke Wu, and Wei-Zhong Zhao
  4. Progress of Theoretical Physics Vol. 96 No. 3 (1996) pp. 521-526 :
    Lump Solutions of the Ishimori-II Equation
    Kenji Imai and Kazuhiro Nozaki
  5. Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1013-1023 :
    Dromion and Lump Solutions of the Ishimori-I Equation
    Kenji Imai

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.