@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}
}