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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.

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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. Progress of Theoretical Physics Vol. 96 No. 3 (1996) pp. 521–526

    Lump Solutions of the Ishimori-II Equation Kenji Imai and Kazuhiro Nozaki

  4. Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1013–1023

    Dromion and Lump Solutions of the Ishimori-I Equation Kenji Imai

© Copyright © 1984 Progress of Theoretical Physics 1984
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