TY - JOUR T1 - Noncommutative Multi-Solitons in a Modified Chiral Model in 2+1 Dimensions AU - Zhu , Xiujuan JO - Communications in Mathematical Research VL - 4 SP - 349 EP - 360 PY - 2021 DA - 2021/07 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19352.html KW - noncommutative, star product, Moyal-Weyl map, Bäcklund transformation. AB -

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.