61 citations · 61 across the 4 of their papers we have counts for
4 papers · 1 filter
A noncommutative semi-discrete Toda equation and its quasideterminant solutions
C. X. Li, J. J. C. Nimmo
A noncommutative version of the semi-discrete Toda equation is considered. A Lax pair and its Darboux transformations and binary Darboux transformations are found and they are used…
Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
C. X. Li, J. J. C. Nimmo
Two families of solutions of a generalized non-Abelian Toda lattice are considered. These solutions are expressed in terms of quasideterminants, constructed by means of Darboux and…
On a direct approach to quasideterminant solutions of a noncommutative KP equation
C. R. Gilson, J. J. C. Nimmo
A noncommutative version of the KP equation and two families of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of D…
A relationship between rational and multi-soliton solutions of the BKP hierarchy
J. J. C. Nimmo, A. Yu. Orlov
We consider a special class of solutions of the BKP hierarchy which we call -functions of hypergeometric type. These are series in Schur -functions over partitions, with coef…