Noncommutative Multi-Solitons in a Modified Chiral Model in 2+1 Dimensions

Noncommutative Multi-Solitons in a Modified Chiral Model in 2+1 Dimensions

Year:    2009

Author:    Xiujuan Zhu

Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 349–360

Abstract

Multi-soliton configurations of a Moyal-type noncommutative deformed modified 2+1 chiral model have been constructed by dressing method several years ago. These configurations have no-scattering property. By making a second-order pole in the dressing ansatz, two-soliton configurations with genuine soliton-soliton interaction were constructed after that. We go on in this paper to construct a large family of multi-soliton configurations with scattering property by using the noncommutative extension of Bäcklund transformations defined by Dai and Terng in a recent paper.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19352

Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 349–360

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    noncommutative star product Moyal-Weyl map Bäcklund transformation.

Author Details

Xiujuan Zhu