On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrodinger equations

Myrzakulov, R. ; Vijayalakshmi, S. ; Syzdykova, R. N. ; Lakshmanan, M. (1998) On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrodinger equations Journal of Mathematical Physics, 39 (4). pp. 2122-2140. ISSN 0022-2488

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Official URL: http://link.aip.org/link/?JMAPAQ/39/2122/1

Related URL: http://dx.doi.org/10.1063/1.532279

Abstract

Using a moving space curve formalism, geometrical as well as gauge equivalence between a (2+1) dimensional spin equation (M-I equation) and the (2+1) dimensional nonlinear Schrodinger equation (NLSE) originally discovered by Calogero, discussed then by Zakharov and recently rederived by Strachan, have been estabilished. A compatible set of three linear equations are obtained and integrals of motion are discussed. Through stereographic projection, the M-I equation has been bilinearized and different types of solutions such as line and curved solitons, breaking solitons, induced dromions, and domain wall type solutions are presented. Breaking soliton solutions of (2+1) dimensional NLSE have also been reported. Generalizations of the above spin equation are discussed.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:19350
Deposited On:22 Nov 2010 12:45
Last Modified:17 May 2016 03:55

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