@article{oai:nagoya.repo.nii.ac.jp:00012436,
author = {GILSON, CLAIRE R. and HAMANAKA, MASASHI and NIMMO, JONATHAN J. C.},
journal = {GLASGOW MATHEMATICAL JOURNAL},
month = {Feb},
note = {We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach are represented in terms of quasi-determinants and belong to a non-commutative version of the Atiyah–Ward ansatz. In the commutative limit, our results coincide with those by Corrigan, Fairlie, Yates and Goddard.},
pages = {83--93},
title = {BÄCKLUND TRANSFORMATIONS FOR NON-COMMUTATIVE ANTI-SELF-DUAL YANG–MILLS EQUATIONS},
volume = {51A},
year = {2009}
}